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

B) 1/x^21 y^12

I just took the quiz on edge

Answer 2

The simplified form of the expression is
`(1)/(x^(7) y^(4))`.

Explanation:

The expression is:

`(x^(-3)\cdot y^(2))/(x^(4)\cdot y^(6))`

The division rule of exponents is:

`a^(m)/ a^(n)=a^(m-n)`

The negative exponent rule is:

`a^(-m)=(1)/(a^(m))`

Simplify the expression as follows:

`(x^(-3)\cdot y^(2))/(x^(4)\cdot y^(6))=[x^(-3-4)]* [y^(2-6)]`

`=x^(-7)* y^(-4)\\\\=(1)/(x^(7) y^(4))`

Thus, the simplified form of the expression is
`(1)/(x^(7) y^(4))`.