Question

Which expression is equivalent to 5^10•5^5

Answer 1

when multiplying, you add indices
so it's 5^15
when dividing, you minus indices just fyi

Answer 2

`5^(15)`

Explanation

To solve this, we are using the product rule of exponents:
`a^m*a^n=a^(m+n)`, which means that when we multiply powers of the same base, we just need to add the exponents.

In our expression
`5^(10)*5^5`, we have the same base: 5. So we just need to add the exponents together:

`5^(10)*5^5=5^(10+5)=5^(15)`

We can conclude that
`5^(15)` is equivalent to
`5^(10)*5^5`.