Q14. - Algebra 1

Question

Evaluate each expression.

$2^5$

Step-by-Step Solution

Answer

$2^5=32$

Step 1. Formula used is.

The exponent of a term, i.e. $a^n$, means that the number in base(a) is multiplied with itself n times.

As

$a^n=\underset{n-times}{\underbrace{a\cdot a\cdot a\cdot \mathrm{.......}\cdot a}}$

Step 2. Write the given information.

The expression given is 

$2^5$

Step 3. Simplify.

The given expression can be evaluated by multiplying the base, 2, with itself 5 times, as:

 $$\begin{gathered} 2^5=2\times 2\times 2\times 2\times 2 \\ =32 \end{gathered}$$

 

Thus, $2^5=32$