Exercise
$\sqrt[4]{3a^4b^7}+a\sqrt[4]{81ab^7}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression (3a^4b^7)^(1/4)+a(81ab^7)^(1/4). The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[4]{a^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{4}.
Simplify the expression (3a^4b^7)^(1/4)+a(81ab^7)^(1/4)
Final answer to the exercise
$\sqrt[4]{3}a\sqrt[4]{b^{7}}+3a^{\frac{5}{4}}\sqrt[4]{b^{7}}$