Question

What is the value of b in the equation (y^-9)^b = y^45?
A. –405
B. –5
C. 5
D. 405

Answer 1

Answer:

your answer would be B -5

Step-by-step explanation:

this would be the answer of course because of my thoughtful manner.

Answer 2

The equation $(y^{-9})^b = y^{45$ is an exponential equation, the value of b in the equation is -5

How to determine the value of b?

The equation is given as:

$(y^{-9})^b = y^{45$

Evaluate the exponent

$y^{-9b} = y^{45$

Cancel out the common base (y)

-9b = 45

Divide both sides by -9

b = -5

Hence, the value of b in the equation is -5

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