Multiplying and Dividing Exponents

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Algebra II › Multiplying and Dividing Exponents

1 - 10
1

Simplify:

CORRECT

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Explanation

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

2

Multiply:

CORRECT

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Explanation

The bases of the exponents are common. This means we can add the fractions.

The least common denominator is six.

This becomes the power of the exponent.

Break up the fraction in terms so that each can be reduced.

Since we do not know term , it can be rewritten in base two, and .

Rewrite this term as a replacement of , and multiply the power of the exponent in base two with the power of the exponent in base eight.

Simplify the terms. A value to the power of one-half is the square root of that number.

The answer is:

3

Simplify the following expression.

CORRECT

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Explanation

Simplify the following expression

To simplify this, we need to subtract our exponents and divide our whole numbers.

When we do this, we get the following.

4

Simplify the following expression:

CORRECT

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Explanation

Simplify the following expression:

When multiplying exponents, we need to recall the rule. When we multiply exponents of like base together, we add the exponents. This is seperate from the numbers out in front (the 5 and the 8) those two numbers will be multiplied as normal.

We can sort of rearrange the expression to get the following:

Making our answer:

5

Simplify.

CORRECT

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Explanation

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

6

Evaluate:

CORRECT

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Explanation

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

7

Simplify:

CORRECT

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Explanation

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

8

Simplify:

CORRECT

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Explanation

When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.

Multiply:

9

Simplify:

CORRECT

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Explanation

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

10

Simplify:

CORRECT

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Explanation

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