Question

Simply the expression. Write your answer using only positive exponents. I need help with problem number 14.

Answer 1

In order to simplify this expression, we can use the following property:

`\begin{gathered} (1)/(a^b)=a^(-b) \\ a^b\cdot a^c=a^(b+c) \end{gathered}`

Simplifying the given expression using only positive exponents, we have:

`\begin{gathered} (2^3a^(-3))/(8^(-1)b^(-5)c^0) \\ =(2^3)/(a^38^(-1)b^(-5)c^0) \\ =(2^3\cdot2^3)/(a^3b^(-5)c^0) \\ =(2^3\cdot2^3\cdot b^5)/(a^3) \\ =(2^(3+3)\cdot b^5)/(a^3) \\ =(2^6b^5)/(a^3) \end{gathered}`