1 Answer

James Clark · Answer 1 · 2021-04-29T22:57:38+0000

The simplified expression of
$$4 x \cdot (1)/(x^(-5)) \cdot x^(-3)$ is
4x^3 .

Solution:

Given expression is
$4 x \cdot (1)/(x^(-5)) \cdot x^(-3)$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot (1)/(x^(-5)) \cdot x^(-3)$

Using exponent rule:
(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 (1)/(x^(-5)) \cdot x^(-3)$ is
4x^3 .

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