Exercise
$\left(m^{\frac{2}{3}}n^{-3}\right)^{-2}\left(n^{\frac{3}{4}}m^{-2}\right)^3$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression (m^(2/3)n^(-3))^(-2)(n^(3/4)m^(-2))^3. The power of a product is equal to the product of it's factors raised to the same power. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power. Multiplying fractions \frac{1}{\sqrt[3]{m^{4}}\left(\frac{1}{n^{3}}\right)^{2}} \times \frac{1}{m^{6}}.
Simplify the expression (m^(2/3)n^(-3))^(-2)(n^(3/4)m^(-2))^3
Final answer to the exercise
$\frac{\sqrt[4]{n^{33}}}{\sqrt[3]{m^{22}}}$