Question

Simplify 5^2 x 5^9 ?

Answer 1

48828125

Explanation:

`5^2\cdot \:5^9\\=5^(2+9)\\=5^(11)\\=48828125`

Answer 2

Answer:
`5^(11)`

Explanation: Since these two powers have the same base of 5, you can multiply them together by simply adding their exponents to get
`5^(11)`.

A common mistake in this problem would be to multiply

the bases together and give an answer of
`25^(11)`.

It's important to understand however that the

5's in this problem cannot be multiplied together

because they are not coefficients, they're bases.

When applying your exponent rules, your base will never change.