Question

Simplify and write the following in exponential form- I. (5^-7×6^-5 ) ÷ (3 ^-5×10^-5×5^3 )​

Answer 1

Answer:

${{(5)}^{ - 7} \times {(6)}^{ - 5} } \div {(3)}^{ - 5} \times {(10)}^{ - 5} \times {(5)}^{3} \\ = {(\frac{1}{5} )}^{7} \times {(\frac{1}{6}) }^{5} \div {(\frac{1}{3} )}^{5} \times { (\frac{1}{10}) }^{5} \times {5}^{3} \\ = \frac{1}{25 \times 25 \times 25 \times 5} \times \frac{1}{36 \times 36 \times 6} \times \frac{27 \times 9}{1} \times \frac{100 \times 100 \times 10}{1} \times 125 \\ = 5$