Question

Evaluate the expression ${11}^5$.

Short answer

The value of the expression of ${11}^5$is 161051.

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,

${11}^5=11\times 11\times 11\times 11\times 11$

The expression is now multiplied. Thus,

$11\times 11\times 11\times 11\times 11=161051$

$\therefore {11}^5=161051$