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If 0.17÷p2=170.17÷p^2=170.17÷p2=17​, then the value of ppp​ is:
Question

If 0.17÷p2=170.17÷p^2=17​, then the value of pp​ is:

A.

0.001

B.

1

C.

0.1

D.

0.01

Correct option is C

Given:

The equation is 0.17÷p2=17.0.17\div{p^2} = 17.​​

Solution:
0.17p2=17\frac{0.17}{p^2} = 17

0.17=17p20.17 = 17p^2

p2=0.1717=0.01p^2 = \frac{0.17}{17} = 0.01

Taking the square root of both sides:

p=0.01=0.1p = \sqrt{0.01} = 0.1

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