Question

PLZ HELP ASAP!!!!!

Answer 1

The simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$.

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$.

To simplify the given expression.

$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$\Rightarrow4x \cdot x^{5-3}$

$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$\Rightarrow4x^{1+2}$

$\Rightarrow4x^3$

Hence the simplified expression of  $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$.