Answer
$\dfrac{1}{4}$
Work Step by Step
Substitute $2$ to $x$ in $x^3\cdot x^5$ to obtain:
\begin{align*}
&=\frac{x^8}{x^{10}}\\\\
&=\frac{2^8}{2^{10}}\\\\
&=2^{8-10}\\\\
&=2^{-2}\\\\
&=\frac{1}{2^2}\\\\
&=\frac{1}{4}
\end{align*}
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises - Page 458: 97
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