Q1C. - Algebra 1

Question

Evaluate the expression $7^3$.

Step-by-Step Solution

Answer

The expression $7^3$ can be written as 343.

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 $3^4=3\times 3\times 3\times 3\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}(4 times)}$ which is 81.

Step 3. DESCRIPTION OF STEP.

The given expression $7^3$ can be written as:

$\begin{array}{l}{7}^3=7\times 7\times 7\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}(3 times)}\\ \Rightarrow 7^3=343\end{array}$