The equation [tex](y^{-9})^b = y^{45[/tex] 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:
[tex](y^{-9})^b = y^{45[/tex]
Evaluate the exponent
[tex]y^{-9b} = y^{45\\[/tex]
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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