Question

If 10^2y=25, then 10^negative y=?
a. -1/5
b. 1/5
c. 1/25
d. -1/25​

Answer 1

y=.04 Does not change just because power of does, and sum does. Answer C

Explanation:

10^2y=25

100y=25

100 x .04=25

10^-2y=-25

Answer 2

b. 1/5

Explanation:

`{10}^(2y) = 25`

`{ ({10}^(y)) }^(2) = {5}^(2)`

SQUARE ROOT ON BOTH SIDES

`{10}^(y) = 5`

RECIPROCAL ON BOTH SIDES

`\frac{1}{ {10}^(y) } = (1)/(5)`

`{10}^( - y) = (1)/(5)`