Question

Hailey simplified the expression (12xy74x4y3)2 using the following steps:

Step 1: (3x−3y4)2

Step 2: 3x−6y8

Step 3:3y8x6

Did Hailey correctly simplify the expression?
A
Yes, Hailey correctly simplified the expression.

B
No, in Step 1, Hailey should have added the exponents instead of subtracting them.

C
No, in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.

D
No, in Step 2, Hailey should have also multiplied the exponent of the coefficient by 2 to get 32.

Answer 1

No, Hailey did not correctly simplify the expression. In Step 1, Hailey should have added the exponents instead of subtracting them. In Step 2, Hailey should have multiplied the exponent of the coefficient by 2.

Step-by-step explanation:

No, Hailey did not correctly simplify the expression. In Step 1, Hailey should have added the exponents instead of subtracting them. The correct step would be (3x3y4)2, which simplifies to 9x6y8. In Step 2, Hailey should have also multiplied the exponent of the coefficient by 2 to get 36. Therefore, the correct simplification of the expression is 36y8x6.