Question

By which number (-36)to power -1 be divided so tha the quotient is 9 to power -1

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Answer 1

Answer:

-1/4

Step-by-step explanation:

=-(1/36)/x=1/9

=-9/36=x

the number=-1/4

Answer 2

Step-by-step explanation:

Given :-

(-36)^-1

To find :-

By which number (-36)^-1 be divided so tha the quotient is 9^-1 ?

Solution :-

Given number = (36)^-1

Let the required number be X

On dividing (36)^-1 by X

= (36)^-1 / X

The result = 9^-1

=> (36)^-1 / X = 9^-1

=> (36)^-1 = 9^-1 × X

=>9^-1 × X = (36)^-1

We know that

a^-n = 1 / a^n

=> 1/9 × X = 1/36

=> X/9 = 1/36

=> X = 9/36

=> X = 1/4

=> X = 4^-1

Therefore X = 4^-1 or 1/4

Answer:-

The required number for the given problem is

4^-1 or 1/4

Check:-

The required number = 4^-1

On multiplying (36)^-1 by 4^-1

=> (36)^-1 / 4^-1

=>(1/36)/(1/4)

=>(1/36)×(4/1)

=> 4/36

=> 1/9

=> 9^-1

Verified the given relation in the given problem

Used formulae:-

• a^-n = 1 / a^n