Question

Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscript 4 Baseline) (y superscript 6 Baseline) EndFraction) cubed?

Answer 1

Answer:

The simplified form of the expression is $\frac{1}{x^{7} y^{4}}$.

Step-by-step explanation:

The expression is:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}$

The division rule of exponents is:

$a^{m}\div a^{n}=a^{m-n}$

The negative exponent rule is:

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

Simplify the expression as follows:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]$

         $=x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}$

Thus, the simplified form of the expression is $\frac{1}{x^{7} y^{4}}$.

Answer 2

B) 1/x^21 y^12

I just took the quiz on edge