Q39. - Algebra 1

Question

Evaluate the expression $4^2$.

Step-by-Step Solution

Answer

The value of the expression $4^2$ is 16.

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  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. Calculation using the property.

Applying the formulae,

$4^2=4\times 4$

 

The expression is now multiplied. Thus, 

$4\times 4=16$

$\therefore 4^2=16$