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

Answer

$5^{15}$

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 $5^{10}*5^5$.