Question

Enter your answers in the boxes.

(√16)² = in simplest form.
By the Power of Power rule,
So, 16 must equal
2
(162) ²
= 16
in radical form.

Answer 1

The complete sentences are

(√16)² =
`(16^{(1)/(2) })^2` in simplest form.

By the Power of Power rule,
`(16^{(1)/(2) } )^(2)` =
`16^{(2)/(2) }`

So,
`16^{(1)/(2) }` must equal to 16 in radical form.

We can simplify the expression using the power of a power rule, which states that
`(a^m)^n = a^(mn)`

Apply the power of a power rule:

(√16)² =
`(16^{(1)/(2) })^2`

Simplify the exponent:

`(16^{(2)/(2) })`

Evaluate the exponent:

`16^1`

Simplify the expression:

16 = 16¹

Evaluate the exponent:

(√16)² = 16

Complete question

Complete the sentence.

Enter your answers in the blank.

(√16)² = ___________ in simplest form.

By the Power of Power rule,
`(16^{(1)/(2) } )^(2)` =
`16^{(2)/(2) }`

So,
`16^{(1)/(2) }` must equal ___________ in radical form.