Exercise
$\left(4b^{-2}\:c^2\right)^{-3}\:\left(2b^7\:c^{-3}\right)^3$
Step-by-step Solution
Learn how to solve integral calculus problems step by step online. Simplify the expression (4b^(-2)c^2)^(-3)(2b^7c^(-3))^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{8}{\left(\frac{4}{b^{2}}\right)^{3}c^{6}} \times \frac{1}{c^{9}}.
Simplify the expression (4b^(-2)c^2)^(-3)(2b^7c^(-3))^3
Final answer to the exercise
$\frac{b^{27}}{8c^{15}}$