Question

Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.

x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction


What is Tyler’s error?

Both powers should be in the numerator with positive exponents.

Both powers should be in the denominator with positive exponents.

The power x cubed should be in the numerator and the power y Superscript 9 in the denominator.

The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.

Answer 1

The answer is D)

Start Fraction 1 Over r Superscript 7 Baseline End Fraction + Start Fraction 1 Over s Superscript 12 End Fraction

Explanation:

Did the Test Zero & Negative Exponents on Engenuity.

Answer 2

D. The power y Superscript 9 should be in the numerator and the power x cubed in the denominator.

Explanation:

The correct simplification is the following:

`(x^(-3))/(y^(-9)) =`

`= (1)/(x^3) * (1)/(y^(-9)) =`

`= (1)/(x^3) * y^(9) =`

`= (y^(9))/(x^3)`