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Algebra/rational exponents

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

Answer
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)

Please let me know if you have any additional questions about this.

Algebra

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Anne Losch

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