# 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...

2 months ago

## Solution 1

Guest #3615
2 months ago
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

The exponent of the variable b in Marina's solution should be 7

## Solution 2

Guest #3616
2 months ago

7 is correct!

Step-by-step explanation:

hope that this helps. Peace and Love

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