Question

What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24 Baseline EndFraction? –20 –6 6 20

Answer 1

-6

Step-by-step explanation:

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Answer 2

-6

Step-by-step explanation:

The statement of the question can be represented by the equation:

`y^(b(4))=(1)/(y^(24))`

From the law of indices:
`y^(b(4))=y^(b*4)=y^(4b),Also(1)/(y^(24))=y^(-24)`

Therefore applying this law, we get:

`y^(4b)=y^(-24)`

An expression in the form:
`a^(h(c))=a^(g(c))` can be given as h(c) = g(c)

Therefore:

`y^(4b)=y^(-24)\\4b = -24\\b = -24/4=-6\\b=-6`