Question

if 9^2p =36 then 9-^p​

Answer 1

Answer:

1/6

Step-by-step explanation:

9^2p=36

9^-p=???

(9^p)²=36

9^p=6

So 9^-p= 1/6

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Answer 2

Step-by-step explanation:

Given:-

9^(2p) = 36

To find :-

Find the value of 9^-p ?

Solution:-

Given equation is 9^(2p) = 36

It can be written as

=(9^p)^2 = 36

Since (a^m)^n = a^(mn)

=> (9^p)^2 = 6^2

We know that

a^m = b^m => a = b

=> 9^p = 6

=> 1/^9^p = 1/6

=> 9^-p = 1/6

Since a^-n = 1/a^n

Answer:-

The value of 9^-p = 1/6

Check:-

9^-p = 1/6

=> 1/9^p = 1/6

=> 9^p = 6

On squaring both sides then

=> (9^p)^2 = 6^2

=> 9^(2p) = 36

Verified the given relations in the given problem.

Used formulae:-

• (a^m)^n = a^(mn)
• a^m = b^m => a = b
• a^-n = 1/a^n