Question

Simplify: ${\left(\frac{3}{4}\right)}^{-4}\times {\left(\frac{3}{4}\right)}^7$

• A. ${\left(\frac{3}{4}\right)}^3$
• B. ${\left(\frac{4}{3}\right)}^3$
• C. ${\left(\frac{3}{4}\right)}^{-3}$
• D. ${\left(\frac{3}{4}\right)}^2$

Answer 1

The correct option is A ${\left(\frac{3}{4}\right)}^3$

${\left(\frac{3}{4}\right)}^{-4}\times {\left(\frac{3}{4}\right)}^7={\left(\frac{3}{4}\right)}^{-4+7}={\left(\frac{3}{4}\right)}^3$

So, option $A$ is correct.