Question

Write the expression in repeated multiplication form then write the expression as a power ​

Answer 1

Repeated multiplication

$(5 \times 5 \times 5 \times 5 \times 5 \times 5)(5 \times 5 \times 5)$

Power

${5}^{9}$

If multiplying something with like bases, add the exponents together.

Answer 2

Answer:

Your answer is below.

Solution Steps:

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1.) Write in expanded multiplication form:

• $5^6=$ $5$ × $5$ × $5$ × $5$ × $5$ × $5$

• $5^3=$ $5$ × $5$ × $5$

 - When doing this, it just means write out each multiplication base being multiplied by itself by the power. So say you have $4^3$, you would multiply 4 by 4 by 4.

2.) Write as a simplified power:

• $5^6$ × $5^3=5^9$

 - When simplifying/multiplying powers, you just add the exponents if the base is the same.

So your answer is:

Expanded form = $\bold{5}$ × $\bold{5}$ × $\bold{5}$ × $\bold{5}$ × $\bold{5}$ × $\bold{5}$ and $\bold{5}$ × $\bold{5}$ × $\bold{5}$.

Simplified form = $\bold{5^9}$.

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