Exercise
$x^{\frac{1}{2}}x^{\frac{1}{5}}x^{-\frac{1}{3}}$
Step-by-step Solution
Learn how to solve multiply powers of same base problems step by step online. Simplify the product of powers x^(1/2)x^(1/5)x^(-1/3). When multiplying exponents with same base we can add the exponents. The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Combine and simplify all terms in the same fraction with common denominator 10.
Simplify the product of powers x^(1/2)x^(1/5)x^(-1/3)
Final answer to the exercise
$x^{\frac{11}{30}}$