# How do you find the product 6*6^7?

Jan 6, 2017

${6}^{8}$

#### Explanation:

A product is the answer to a multiplication.

In algebra $x \times {x}^{7} = {x}^{1 + 7} = {x}^{8}$

"If the bases are the same and you are multiplying, add the indices."

However, the bases can have any value, they do not only have to be variables.

In this case, $6 \times {6}^{7} = 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 = {6}^{8}$

This is fine as the final answer, but if you multiply it out it is:

$1 , 679 , 616$

There is little point in doing so, because we know very little about this number in this form.

${6}^{8}$ is far more useful.