Q40. - Algebra 1

Question

Evaluate the expression ${12}^3$.

Step-by-Step Solution

Answer

The value of the expression ${12}^3$ is 1728.

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. Calculation using the property.

Applying the formulae,

${12}^3=12\times 12\times 12$

The expression is now multiplied. Thus, 

$12\times 12\times 12=1728$

$\therefore {12}^3=1728$