Question

Write each of the following numbers as a power with a rational exponent:
2
`2\sqrt32`

Answer 1

2^(7/2)

Explanation:

Here, we want to write 2√32 as a power with a rational exponent.

That would be 2 * √32

= 2 * 32^1/2

= 2 * 2^5(1/2)

= 2 * 2^5/2

According to law of indices, this becomes the following;

2^(1 + 5/2)

= 2^(7/2)