Question

Review Seth’s steps for rewriting and simplifying an expression.

Seth's first mistake was made in (blank)

Step 1, Step 2, Step 3, Step 4, or Step 5

where he (blank)

Factored 16 out of the second term instead of 4
Did not apply the properties of exponents correctly
Factored 2 out of the first term instead of 4
Did not write the expression as division correctly

Answer 1

Answer: the mistake was in step 2 then: factored 16 out of the second term instead of 4

Step-by-step explanation:

Answer 2

Factored 16 out of the second term instead of 4

Did not apply the properties of exponents

Explanation:

Given the expression :

8x^6 √200x^13 ÷ 2x^5√32x^7

STEP 1:

8x^6 √(25*4*2*(x^6)^2*x) ÷ 2x^5√16*2*(x^3)^2 *x

Step 2:

8*2*5*x^6√2x ÷ 2*4*x^5*x^3√2x[correct expression]

80x^12√2x ÷ 8x^8√2x

(80x^12√2x ) / (8x^8√2x)

10x^(12 - 8)

= 10x^4

The square root of 16 is 4 ;

Hence 4 should be factored out of the second term instead of 16