Question

Question 28

In the following question, out of the four options, only one is correct. Write the correct answer.

${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5$ is equal to

(a) ${(\frac{3}{4}÷\frac{5}{3})}^5$

(b) ${(\frac{3}{4}÷\frac{5}{3})}^1$

(c) ${(\frac{3}{4}÷\frac{5}{3})}^0$

(d) ${(\frac{3}{4}÷\frac{5}{3})}^{10}$

Answer 1

Using law of exponents $a^m÷b^m=(a÷b{)}^m\therefore {\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5={(\frac{3}{4}÷\frac{5}{3})}^5$