How to find a rational number from an exponent - GRE Quantitative Reasoning
Card 1 of 40
Which of the following is not the same as the others?
Which of the following is not the same as the others?
Tap to reveal answer
Let's all convert the bases to 
.
This one may be intimidating but 
.
Therefore,
is not like the answers so this is the correct answer.
Let's all convert the bases to
Therefore,
← Didn't Know|Knew It →
Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
Tap to reveal answer
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
← Didn't Know|Knew It →
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Tap to reveal answer
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
← Didn't Know|Knew It →
Tap to reveal answer
Anything raised to negative power means 
over the base raised to the postive exponent.
Anything raised to negative power means
← Didn't Know|Knew It →
Simplify
Simplify
Tap to reveal answer
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a 
.
We have 
.
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of 
.
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a
We have
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of
← Didn't Know|Knew It →
Which of the following is not the same as the others?
Which of the following is not the same as the others?
Tap to reveal answer
Let's all convert the bases to .
This one may be intimidating but .
Therefore,
is not like the answers so this is the correct answer.
Let's all convert the bases to
Therefore,
← Didn't Know|Knew It →
Quantity A:
Quantity B:
Quantity A:
Quantity B:
Tap to reveal answer
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
← Didn't Know|Knew It →
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Tap to reveal answer
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
← Didn't Know|Knew It →
Tap to reveal answer
Anything raised to negative power means over the base raised to the postive exponent.
Anything raised to negative power means
← Didn't Know|Knew It →
Simplify
Simplify
Tap to reveal answer
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a .
We have .
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of .
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a
We have
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of
← Didn't Know|Knew It →
Which of the following is not the same as the others?
Which of the following is not the same as the others?
Tap to reveal answer
Let's all convert the bases to .
This one may be intimidating but .
Therefore,
is not like the answers so this is the correct answer.
Let's all convert the bases to
Therefore,
← Didn't Know|Knew It →
Quantity A:
Quantity B:
Quantity A:
Quantity B:
Tap to reveal answer
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
← Didn't Know|Knew It →
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Tap to reveal answer
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
← Didn't Know|Knew It →
Tap to reveal answer
Anything raised to negative power means over the base raised to the postive exponent.
Anything raised to negative power means
← Didn't Know|Knew It →
Simplify
Simplify
Tap to reveal answer
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a .
We have .
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of .
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a
We have
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of
← Didn't Know|Knew It →
Which of the following is not the same as the others?
Which of the following is not the same as the others?
Tap to reveal answer
Let's all convert the bases to .
This one may be intimidating but .
Therefore,
is not like the answers so this is the correct answer.
Let's all convert the bases to
Therefore,
← Didn't Know|Knew It →
Quantity A:
Quantity B:
Quantity A:
Quantity B:
Tap to reveal answer
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
(–1) 137= –1
–1 < 0
(–1) odd # always equals –1.
(–1) even # always equals +1.
← Didn't Know|Knew It →
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
Quantity A Quantity B
43 34
Tap to reveal answer
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
In order to determine the relationship between the quantities, solve each quantity.
43 is 4 * 4 * 4 = 64
34 is 3 * 3 * 3 * 3 = 81
Therefore, Quantity B is greater.
← Didn't Know|Knew It →
Tap to reveal answer
Anything raised to negative power means over the base raised to the postive exponent.
Anything raised to negative power means
← Didn't Know|Knew It →
Simplify
Simplify
Tap to reveal answer
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a .
We have .
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of .
Whenever you see lots of multiplication (e.g. exponents, which are notation for repetitive multiplication) separated by addition or subtraction, a common way to transform the expression is to factor out common terms on either side of the + or - sign. That allows you to create more multiplication, which is helpful in reducing fractions or in reducing the addition/subtraction to numbers you can quickly calculate by hand as you'll see here.
So let's factor a
We have
And you'll see that the addition inside parentheses becomes quite manageable, leading to the final answer of
← Didn't Know|Knew It →