Question

If (1/5)^3y = 0.008 then find the value of(0.25)^y

Answer 1

Answer:

$(0.25)^{y}=0.25$

Step-by-step explanation:

$\left(\frac{1}{5}\right)^{3y}=0.008\\=\frac{8}{1000}\\=\frac{1}{125}\\=\frac{1}{5^{3}}\\=\left(\frac{1}{5}\right)^{3}$

$\implies 3y = 3$

$\implies y = \frac{3}{3}=1$

$Now, \\(0.25)^{y}\\=(0.25)^{1}\\=0.25$

Therefore,

$(0.25)^{y}=0.25$

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Answer 2

Answer:

Step-by-step explanation: