## Related questions with answers

Question

*This exercise will help you prepare for the material covered in the next section. In this exercise, use properties of exponents to simplify the expression. Be sure that no negative exponents appear in your simplified expression. (If you have forgotten how to simplify an exponential expression.)*

$\left(2^3 x^5\right)\left(2^4 x^{-6}\right)$

Solution

VerifiedStep 1

1 of 2Using laws of exponents, the given expression simplifies to

$\begin{align*} (2^3x^5)(2^4x^{-6}) &\Rightarrow (8x^5)(16x^{-6}) \\&= 128x^{5+(-6)} \\&= 128x^{-1} \\&= \dfrac{128}{x} .\end{align*}$

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