Question

solve it...................

Answer 1

Hey!

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10^2y = 25
10^-y = ?

( 10^y) ^2 = 5^2

10^y = 5

( 10^y)^-1 = 5^-1

[ We can also write 5^-1 as 1/5 ]

10^-y = 1/5

Thus, 10^-y = 1/5

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Hope it helps...!!!

Answer 2

PLEASE TYPE THE QUESTION.

Final Answer : 1/5

Steps:
1)
${10}^{2y} = 25 \\ = > {10}^{y} = + 5 \: or \: - 5 \\ = > {10}^{y} = 5$
We know that 10^y is always positive.
Therefore, 10^y is 5 and we rejected 10^y = -5.

Now,
${10}^{y} = 5 \\ = > \frac{1}{5} = {10}^{ - y}$

So, Our final answer is 1/5 .