The power 4^3

Question

is equivalent to 64
. What is the value of 4^−3
?(1 point)
Responses

1/4
1 fourth

−64
negative 64

1/64
1 over 64

−4
negative 4

Answer 1

To find the value of \(4^{-3}\), we can use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\).

Thus,

\[ 4^{-3} = \frac{1}{4^3} \]

We know that \(4^3 = 64\), therefore:

\[ 4^{-3} = \frac{1}{64} \]

The correct answer is:

1/64 (1 over 64).