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

Answer:

-6

Explanation:

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

$y^{b(4)}=\frac{1}{y^{24}}$

From the law of indices: $y^{b(4)}=y^{b*4}=y^{4b},Also\frac{1}{y^{24}}=y^{-24}$

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:

$y^{4b}=y^{-24}\\4b = -24\\b = -24/4=-6\\b=-6$