Question

30 POINTS!!!!!!!!!!!!!!!!!!!!!! 4 x times the fraction 1 over x to the power of negative 5 times x to the power of negative 3

Answer 1

Answer:

$4 {x}^{3}$

Step-by-step explanation:

We want to simplify

$4x \times ( \frac{1}{x})^{ - 5} \times {x}^{ - 3}$

Recall the reciprocal property:

$\frac{1}{a} = {a}^{ - 1}$

We apply this property to get:

$4x \times ( {x}^{ - 1} )^{ - 5} \times {x}^{ - 3}$

Also apply this property of exponents to get:

${(a}^{m})^{n} = {a}^{mn}$

$4x \times ( x )^{ 5} \times {x}^{ - 3}$

We simplify using the product property of exponents to get:

$4 {x}^{1 + 5 - 3} = 4 {x}^{3}$