# How do you write 7 × 7 ×7 ×7 ×7 in exponential form?

Aug 15, 2016

$7 \times 7 \times 7 \times 7 \times 7 = {7}^{5}$

#### Explanation:

An exponent is the same as an index and tells us what a power is made up of.

$7 \times 7 \times 7 \times 7 \times 7 = {7}^{5}$

The powers of 7 are: 7; 49; 343; 2,401; 16,807.

They are written with exponents as:

7^1; 7^2; 7^3, 7^4, 7^5

Aug 15, 2016

${7}^{5}$

#### Explanation:

A short hand method of writing repeated multiplication of a number is to express it in $\textcolor{b l u e}{\text{exponent form}}$

For example.

$2 \times 2 = {2}^{2} \text{ the "color(blue)(2) " in " color(blue)(2)^2" is called the base and the " 2" in the"2^color(red)(2)" the exponent}$

also $2 \times 2 \times 2 \times 2 = {2}^{4} \text{ and so on}$

$\Rightarrow = 7 \times 7 \times 7 \times 7 \times 7 = {7}^{5} \text{ in exponential form}$

The base is the value of the number being multiplied, in this case 7

and the exponent is the number of times, the number is being multiplied. In this case 5.