Question

100*10¹¹=10¹³,State true or false and justify your answer.

Answer 1

GIVEN:-

100 * 10¹¹ = 10¹³

We can write 100 = 10²

(10)² * 10¹¹ = 10¹³

(10)$\bold{^{2 + 11}}$

10¹³ = ¹³
[ mⁿ * mˣ = m⁽ⁿ ⁺ ˣ⁾]

Hence, 100*10¹¹ = 10¹³ [true]

Answer 2

Heya!!

HERE IS THE ANSWER

___________________

LHS =100*10^11

${10}^{2} \times {10}^{11} \\ = {10}^{2 + 11} (since \: bases \: are \: same \: in \: multipliation \: so \: powers \: will \: be \: added) \\ = {10}^{13}$
RHS=10¹³

Therefore LHS =RHS

so the statement is true.

▶Hope it helps you▶