Q41. - Algebra 1

Question

Evaluate the expression $3^6$.

Step-by-Step Solution

Answer

The value of the expression of $3^6$ is 729.

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  which is 81.

Step 3. Calculation using the property.

Applying the formulae,

$3^6=3\times 3\times 3\times 3\times 3\times 3$

The expression is now multiplied. Thus, 

$3\times 3\times 3\times 3\times 3\times 3=729$

$\therefore 3^6=729$