Question

If startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2, what is the value of s?

Answer 1

The value of s after calculation will be s=-1

What will be the value of s?

It is given that

startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2

So the mathematical form will be

$\dfrac{1}{64} =4^{2s-1} \times 16^{2s+2}$

$4^{-3} =4^{2s-1} \times 16^{2s+2}$

$4^{-3} =4^{2s-1} \times 4^{2(2s+2)$

$4^{-3} =4^{2s-1+2(2s+2)$

$4^{-3} =4^{2s-1+2(2s+2)$

$-3=2s-1+2(2s+2)$

$-3=2s-1+4s+4$

$-3=6s+3$

$-6=6s$

$s=-1$

Thus the value of s after calculation will be s=-1

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