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Algebra/rational exponents

Question
(2x^2/5)(6x^1/4). what do i do with the letters and how do i simplify ?

Hi Chavee, I will be happy to help.

With exponents, the rule with multiplying is keep the base, add the exponents.

Example
x^2 * x^3 = x^5

When there are coefficients in front of the variables, as in your case, multiply the coefficients

Example (2a^3)(5a^4) = 10a^7

Therefore,

[2x^(2/5)][6x^(1/4)] simplifies to

12x^(2/5 + 1/4) or 12x^(13/20)

Algebra

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Anne Losch

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Solving equations, graphing, evaluatin equations, factoring, functions, systems of equations, rational equations, exponent, complex numbers, word problems, logarithms, polynomials, and all topics in an Algebra 1, Algebra 2, or College Algebra class

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