Question

Work out the value of 16^-1/4

Answer 1

Answer: 1/2 is 16^-1/4

Explanation:

When you have a fraction as the exponent, it is the root. ^1/2 would be the square root. ^1/4 is the 4th root. That is 2.

A negative exponent means that it is the reciprocal.

The reciprocal of 2 is 1/2

That's the answer.

I hope this explanation helps you!

Answer 2

1/2

Explanation:

16^-1/4

We know that a^ -b = 1/a^b

1/( 16^1/4)

Rewriting 16 as 2^4

1/( 2^4^1/4)

We know that a^b^c = a^ (b*c)

1/( 2^(4*4))

1/2^1

1/2