Exercise
$\frac{\left(4a^{-1}b^{-2}\right)^2}{\left(a^{-6}b^{-4}\right)^{-3}}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the quotient of powers ((4a^(-1)b^(-2))^2)/((a^(-6)b^(-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. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Since the exponent of the denominator is negative, we can bring it to the numerator and thus simplify.
Simplify the quotient of powers ((4a^(-1)b^(-2))^2)/((a^(-6)b^(-4))^(-3))
Final answer to the exercise
$\frac{16}{a^{20}b^{16}}$