Question

Multiplicative inverse of 7 square is (a) 49 (b) 1/49 (c) 7 (d) -14​

Answer 1

Answer:

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Answer 2

Multiplicative inverse of 7 square is 1/49

Given :

The number 7 square

To find :

The multiplicative inverse of 7 square is

(a) 49

(b) 1/49

(c) 7

(d) - 14

Solution :

Step 1 of 2 :

Define multiplicative inverse of a number

1 is the Multiplicative identity

Let M is the multiplicative inverse of N ( ≠ 0 )

Then M × N = 1 = N × M

⇒ M = 1/N

So 1/N is multiplicative inverse of N

Step 2 of 2 :

Find multiplicative inverse of 7 square

7 square = 7² = 49

Let N be the multiplicative inverse of 7²

$\displaystyle \sf{ N \times 7^2 = 1 }$

$\displaystyle \sf{ \implies N \times 49 = 1 }$

$\displaystyle \sf{ \implies N = \frac{1}{49} }$

So the multiplicative inverse of 7 square is 1/49

Hence the correct option is (b) 1/49

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