Question

Express square root of 169^5 using rational exponents

Answer 1

The square root is 371293.

Explanation:

We solve this question using properties of exponents.

The square root of 169 is 13, so the exponent given can be written as:

`169^(5) = (13^(2))^5 = 13^(10)`

The square root of
`13^(10)` is given by:

`\sqrt{13^(10)} = 13^{(10)/(2)} = 13^5 = 371293`

The square root is 371293.