Question

Enter all real solutions to $(m-4)^4 = \left(\frac 1{16}\right)^{-1}$.

Answer 1

The value of m is 8.

What is Exponents and powers?

The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 x 8 x 8 x 8 x …..n times = $8^n$

Given:

$(m-4)^4 = \left(\frac 1{16}\right)^{-1} .$

Now, solving for m

$(m-4)^4$ = 16

$(m-4)^4$ = $4^4$

Taking the quad root we have

m -4 = 4

m = 4+ 4

m = 8

Hence, the value of m is 8.

Learn more about exponents and power here:

brainly.com/question/15722035

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