Simple Exponents

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Algebra II › Simple Exponents

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1

Expand

CORRECT

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Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

2

Expand:

CORRECT

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Explanation

When we expand exponents, we simply repeat the base by the exponential value.

Therefore:

3

Simplify .

CORRECT

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Explanation

To solve this expression, remove the outer exponent and expand the terms.

By exponential rules, add all the powers when multiplying like terms.

The answer is:

4

Expand

CORRECT

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Explanation

When expanding exponents, we repeat the base by the exponential value.

5

Expand:

CORRECT

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0

Explanation

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

6

Expand

CORRECT

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0

Explanation

When expanding exponents, we repeat the base by the exponential value.

7

Simplify:

CORRECT

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Explanation

A number raised by a power is multiplied by itself that number of times.

Rewrite the expression.

Simplify the terms.

The answer is:

8

Expand

CORRECT

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Explanation

To expand the exponent, we multiply the base by the power it is being raised to.

9

Expand:

CORRECT

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Explanation

To expand the exponent, we multiply the base by whatever the exponent is. Because there is a negative sign present, we need to apply the exponent first and then add the negative sign.

10

Expand:

CORRECT

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Explanation

When we expand exponents, we simply repeat the base by the exponential value.

Therefore: