Question

Evaluate the expression ${14}^3$.

Short answer

The value of the expression${14}^3$ is 2744.

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. Calculation using the property.

Applying the formulae,

${14}^3=14\times 14\times 14$

The expression is now multiplied. Thus,

$14\times 14\times 14=2744$

$\therefore {14}^3=2744$