# How do you fill in the blank for the expression n^?*n^5=n^15?

May 4, 2018

${n}^{10}$

#### Explanation:

Exponents with the same base can be added if the bases are being multiplied:

${a}^{b} \cdot {a}^{c} = {a}^{b + c}$

n^?*n^5=n^15 rarr The two numbers are being multiplied and the bases are the same, so the exponents can be added

?+5 must equal $15$

?+5=15

?=10