Question

Select the equivalent expression. 2^-4=

Choose 1 answer
a)1/2^4
b)-2^4
c)(-2)^4

Answer 1

a)1/2^4

Explanation:

First solve 2^-4.

Use negative power rule: x^-a = 1/xa

⇒ 1/2^4

Simplify 2^4 to 16

⇒ 1/16

Just evaluate the other options.

The first one is correct.

Here's why:

⇒ Simplify 2^4 to 16.

⇒ 1/16

They have the same steps, therefore making Option A correct.

Note: This is the longer way, there is a easier way of dealing with these types of problems. Example: Without using a calculator problem.

Answer 2

Answer: A 1/2 ^4

Explanation: