Simplifying Exponents - Algebra 2

First, combine exponents of like variables. This gives us which simplifies to

When multiplying exponents with the same base, you just have to add the exponents.

When dividing exponents with the same base, we just subtract the exponents.

When dividing exponents with the same base, we just subtract the exponents.

When dividing exponents with the same base, we subtract the exponents and keep the base the same.

When multiplying exponents with the same base, we add the exponents and keep the base the same.

When multiplying exponents with the same base, we add the exponents and keep the base the same.

When multiplying exponents with the same base, we add the exponents and keep the base the same.

When multiplying exponents with the same base, we just keep the base the same and add the exponents.

When multiplying exponents with the same base, we just keep the base the same and add the exponents.

When dealing with exponents being raised by another exponent, we just multiply the powers and keep the base the same.

To simplify this expression, square every term in the parentheses:

.

Then simplify and get rid of the negative exponent by putting the b term on the denominator:

.

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

When an exponent is raised by another exponent, we will multiply the exponents and keep the base the same.

Simplify:

. Thus, is equal to 16.

Solve each term separately. A number to the zeroth power is equal to 1, but be careful to apply the signs after the terms have been simplified.

When dealing exponents being raised by a power, we multiply the exponents and keep the base.

When dealing exponents being raised by a power, we multiply the exponents and keep the base.