Exercise
$\frac{\left(4a^{\text{4}}g^{-3}\right)^{-2}}{\left(2a^{-3}g^4\right)^3}$
Step-by-step Solution
Learn how to solve quotient of powers problems step by step online. Simplify the quotient of powers ((4a^4g^(-3))^(-2))/((2a^(-3)g^4)^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. When multiplying exponents with same base we can add the exponents.
Simplify the quotient of powers ((4a^4g^(-3))^(-2))/((2a^(-3)g^4)^3)
Final answer to the exercise
$\frac{a}{128g^{6}}$