Question

The multiplicative inverse of ( 3 x 4 )^-2 is 144.​

Answer 1

hi mate

solution by easy way

(3*4)^-2= 3^-2*4^-2

= -3*-3 *-4*-4

=9*16

=144

i hope mate it helpfull to you

Answer 2

Given:

We have given a number which is  $(3\times4)^-^2$ .

To Find:

We will show the multiplicative inverse of that number is 144.

Step-by-step explanation:

Multiplicative inverse:

• Let and number a then we will say the multiplicative inverse of number a is that number which when we multiply it with it will give us 1.

• Thus, the multiplicative inverse os any number is that number which will be given 1 on multiplication with the given number. Also multiplicative inverse of every number is unique.
• Now we have the question which included the number.

       $(3\times4)^-^2$

• For finding the inverse of the above number first of all we will multiply the brackets terms 3 and 4 we get.

       $\Rightarrow 12^-^2$

• Now the inverse of number or to the power minus will result into the reciprocal of that number to change its power in positiver we get.

     $\Rightarrow\frac{1}{(12)^2}$

• Now do the square of denominator term

     $\Rightarrow\frac{1}{144}$

• Thus, on multiplying the above number by 144 we get 1. which show inverse is 144

Hence the inverse of above number is 144.