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Simplifying Rational Expressions

Marina correctly simplified the expression

A.) -7
B.) -1
C.) 1
d.) 7

Simplifying Rational Expressions Marina correctly simplified the expression A.) -7 B-example-1
User Yakimych
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2 Answers

1 vote
That would be 7 because

b^4 / b^-3 = b^(4-(-3)) = b^7
User Mariopce
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2 votes

The given expression to simplify is


(-4a^(-2)b^4)/(8a^(-6)b^(-3)) , \text{Assuming that } a\\eq 0, b\\eq 0.

We can Simplify the given rational expression using the following exponent property


image


image

Hence exponent of the variable b is 7

User Paulo Janeiro
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