Question

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

Answer 1

Repeated multiplication

`(5 * 5 * 5 * 5 * 5 * 5)(5 * 5 * 5)`

Power

`{5}^(9)`

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

Answer 2

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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