Question

Evaluate the expression $2^6$.

A 12

B 32

C 64

D 128

Short answer

The value of the given expression$2^6$ is 64.

Step-by-step solution

Step 1. Given information.

We have the expression$2^6$

To find the value of the given expression.

Step 2. Rule of the power.

$x^y=x\times x\times x\mathrm{...}\mathrm{...}\mathrm{...}\times$(y times)

As $3^4=3\times 3\times 3\times 3$(4 times multiples of 3)

$\Rightarrow 3^4=81$

So, the value of the expression$3^4$ is 81.

Step 3. Calculate the value.

$2^6=2\times 2\times 2\times 2\times 2\times 2$ (6-times)

$\Rightarrow 2^6=64$