Exponents - Algebra 2

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

To expand the exponent, we multiply the base by whatever the exponent is.

Although we have two variables, we do know that a number raised to a zero power is one. Therefore:

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:

While a positive exponent says how many times to multiply by a number, a negative exponent says how many times to divide by the number.

To solve for negative exponents, just calculate the reciprocal.

To evaluate a negative exponent, convert the exponent to positive by taking the inverse.

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: