Question

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

Answer 1

Answer:

The answer to your question is below

Step-by-step 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

                 = $\sqrt{3^{2}6 a^{6} a b^{2} b }$

                = $3a^{6/2} b^{2/2} \sqrt{6ab}$

               = $3 a^{3} b \sqrt{6ab}$

Answer 2

Answer:

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.

Step-by-step explanation:

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