Question

Evaluate the expression $4^5$.

Short answer

The expression$4^5$ can be written as 1024.

Step-by-step solution

Step 1. Apply the formula for breaking integral powers.

For any real number ‘a’ with the integer power ‘n’ of the form$a^n$ can be expressed as:

$a^n=a\times a\times a\times \mathrm{..................}n\text{times.}$

Step 2. Example of breaking integral powers.

The expression$3^4$ can be written as $3^4=3\times 3\times 3\times 3\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}(4times)}$which is 81.

Step 3. DESCRIPTION OF STEP.

The given expression$4^5$ can be written as:

$\begin{array}{l}{4}^5=4\times 4\times 4\times 4\times 4\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}(5times)}\\ \Rightarrow 4^5=1024\end{array}$