Question

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

• A. ${\left(\frac{3}{4}÷\frac{5}{3}\right)}^5$
• B. ${\left(\frac{3}{4}÷\frac{5}{3}\right)}^1$
• C. ${\left(\frac{3}{4}÷\frac{5}{3}\right)}^0$
• D. ${\left(\frac{3}{4}÷\frac{5}{3}\right)}^{10}$

Answer 1

The correct option is A

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

Find the value of ${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5$

The law of exponents is${\left(a\right)}^m÷{\left(b\right)}^m={(a÷b)}^m$

So, ${\left(\frac{3}{4}\right)}^5÷{\left(\frac{5}{3}\right)}^5={\left(\frac{3}{4}÷\frac{5}{3}\right)}^5$

Therefore, the answer is (A).