Question

C) Simplify and Express with positive exponents.
1) (7)3 x (7)-5​

Answer 1

Question:-

Simplify

${(7)}^{3} \times {(7)}^{ - 5}$

Solution:-

We have,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So,

${7}^{3} \times {7}^{ - 5} = {7}^{3 + ( - 5)}$

$= > {7}^{3 - 5}$

$= > {7}^{ - 2}$

We have,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

So,

${7}^{ - 2} = \frac{1}{ {7}^{2} }$

$= > \frac{1}{49}$