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If 10^2y = 25, then 10^-y equals:
(a) -1/5
(b) 1/625
(c) 1/50
(d) 1/25
(e) 1/5​

Sagot :

given:

[tex]10 ^{2y} = 25[/tex]

to find:

[tex] {10}^{y} = .......[/tex]

solution:

[tex]10 ^{2y} = 25[/tex]

[tex] (10y {)}^{2} = {5}^{2} [/tex]

[tex]10y = 5[/tex]

[tex] \frac{1}{ {10}^{y} } = \frac{1}{5} [/tex]

[tex] {10}^{ - y} = \frac{1}{5} [/tex]

therefore, the correct answer is option E.

the correct option is option e.

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