Simplifying Exponents - Algebra II

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Question

Simplify

Answer

First, combine exponents of like variables. This gives us

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Question

Simplify

Answer

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

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Question

Simplify.

Answer

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

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Question

Simplify.

Answer

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

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Question

Simplify.

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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

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Question

Simplify:

Answer

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:

.

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Question

Simplify:

Answer

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

Simplify:

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Question

Simplify:

Answer

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

Simplify:

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Question

Simplify:

Answer

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

Simplify:

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Question

What is the largest positive integer, , such that is a factor of ?

Answer

. Thus, is equal to 16.

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Question

Solve:

Answer

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.

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Question

Evaluate:

Answer

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

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Question

Evaluate:

Answer

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

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