Question

Which expression is equivalent to

Answer 1

Answer:

B) 16^4

Step-by-step explanation:

Given: $(\frac{1}{16}) ^{-4}$

Here we have to use the property a^-1 = 1 / a

Applying the property, we get

= $(\frac{16}{1}) ^{4}$

Now we can bring in the power of 4.

= 16^4 / 1^4

= 16^4 / 1

= 16^4

The answer is b) 16^4

Thank you.

Answer 2

Answer:

Choice B is correct. (1/16)⁻⁴ = (16)⁴

Step-by-step explanation:

We have given the expression:

(1/16)⁻⁴

We have to find the equivalent expression from the following expressions.

We use the formula (b)⁻¹ = 1/b

(1/16)⁻⁴ = (16 / 1)⁴

(1/16)⁻⁴ = (16)⁴/(1)⁴

(1/16)⁻⁴ = (16)⁴

So, the choice B is correct.