Question

Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her simplified expression is below.
-1/2a^4b^

The exponent of the variable b in Marina’s solution should be...

Answer 1

For this case we have the following expression:
 (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
 We can rewrite the expression using properties of exponents.
 We have then:
 (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
 Rewriting we have:
 (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
 (-1/2) * ((a ^ 4) (b ^ 7))
 -1 / 2a ^ 4b ^ 7
 Answer:
 The exponent of the variable b in Marina's solution should be 7

Answer 2

Answer:

option d

Step-by-step explanation: