Question

Describe the error Sadie made, and explain how to find the correct answer.

Answer 1

Sadie did not factor a to the 7th power using the largest perfect power.

Instead of a squared times a to the 5th power, the factors should be a to the 6th times a to the 1st power.

In Sadie’s final answer, the exponent on a should have been 2.

Explanation:

Took the test on Edge

Answer 2

The answer to your question is below

Explanation:

Sadie should have left inside the root an exponent lower than the root and the power of "a" is higher than "2", the root is squared.

Right solution

`\sqrt{54a^(7)b^(3)  }`

54 = 3² 6

a⁷ = a⁶ a

b³ = b² b

=
`\sqrt{3^(2)6 a^(6) a b^(2) b }`

=
`3a^(6/2) b^(2/2) √(6ab)`

=
`3 a^(3) b √(6ab)`