Exercise
$\sqrt[28]{a^8b^{12}c^{16}}\:\:\:\sqrt{360}$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression (a^8b^12c^16)^(1/28)*360^(1/2). The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt{a^8} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 8 and n equals \frac{1}{28}. Multiply the fraction and term in 8\cdot \left(\frac{1}{28}\right).
Simplify the expression (a^8b^12c^16)^(1/28)*360^(1/2)
Final answer to the exercise
$\sqrt{360}\sqrt[7]{a^{2}}\sqrt[7]{b^{3}}\sqrt[7]{c^{4}}$