Exercise
$\frac{\left(2a^3b^{-5}\right)^3}{10a^{-2}}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the quotient of powers ((2a^3b^(-5))^3)/(10a^(-2)). The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction \frac{8a^{9}b^{-15}}{10a^{-2}} by a. Take \frac{8}{10} out of the fraction. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.
Simplify the quotient of powers ((2a^3b^(-5))^3)/(10a^(-2))
Final answer to the exercise
$\frac{4a^{11}}{5b^{15}}$