Question

Tyler simplified the expression. His procedure is shown below.

Answer 1

Explanation:

1

Tyler correctly rewrote x^(-3) as ------- , but

x³

1

he incorrectly wrote y^(-9) as ---------

y^(-9)

Both x^9 and y^9 should be in the denominator. This corresponds to the 2nd given possible answer.

Answer 2

B:Both powers should be in the denominator with positive exponents.

Explanation:

We are given that Tyler simplified an expression

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

We have to find an error which Tyler makes in her simplification

Step 1:
`x^(-3)y^(-9)`

Step 2:
`(1)/(x^3)\cdot y^(-9)`

Step 3:
`(1)/(x^3y^9)`

Hence, Tyler's error is both exponents should be denominator with positive exponents.

Answer:B:Both powers should be in the denominator with positive exponents.