Question

Simplify 7^7 x 7^3

Answer 1

Algebra

Since the numbers are the same, you are allowed to add the exponents.

`{7}^(7) * {7}^(3) = {7}^(10)`

Answer 2

`7^(10)`

Explanation:

The laws of exponents state that if two terms share a base they can be simplified. Specifically, the product exponent law says that if 2 like bases are being multiplied then the exponents can be added together. So, because the two bases are like and 7+3=10, the final answer is
`7^(10)`.