Question

Which of the following is an equivalent expression to 5^9⋅5^−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?

Answer 1

bro what

Answer 2

Using the Properties of Integer Exponents, we know that $a^m\cdot a^n=a^{m+n}$. Applying this property to $5^9\cdot 5^{-13}$, we get $5^{9+(-13)}$. Since $9+(-13)=-4$, an equivalent expression with only positive exponents is $\boxed{5^{-4}}$.