Question

Simplify the following by converting into exponential form: 49 * 121

Answer 1

Simplify the following by converting into exponential form: 49 * 121

Answer :

${77}^{2}$

Explanation :-

Converting into exponential form :-

49 x 121

We know that, 49 is 7 x 7 and 121 is 11 x 11.

$49 = {7}^{2}$

$121 = {11}^{2}$

Exponential form of 49 x 121 is -

${7}^{2} \times {11}^{2}$

7 x 7 x 11 x 11

7 x 11 x 7 x 11

(7 x 11) (7 x 11)

$( {7 \times 11)}^{2}$

${(77)}^{2}$