Question

Show the steps needed to Evaluate (2)^-2

Answer 1

1/4

Explanation:

Now we have to,

→ find the required value of (2)^-2.

Let's solve the problem,

→ (2)^-2

→ (1/2)² = 1/4

Therefore, the value is 1/4.

Answer 2

`(1)/(4)`

Explanation:

Given expression:

`2^(-2)`

`\boxed{\textsf{Exponent rule}: \quad a^(-n)=(1)/(a^n)}`

Apply the exponent rule to the given expression:

`\implies 2^(-2)=(1)/(2^2)`

Two squared is the same as multiplying 2 by itself, therefore:

`\begin{aligned}\implies 2^(-2)&=(1)/(2^2)\\\\&=(1)/(2 * 2)\\\\&=(1)/(4)\end{aligned}`

Solution

`2^(-2)=(1)/(4)`