Radical simplify the expression, and eliminate any negative exponents(s). Assume that all letters denote positive numbers. a) sqrt[6]{y^{5}} sqrt[3]{y^{2}} b) (5sqrt[3]{x})(2sqrt[4]{x})

preprekomW 2020-12-01 Answered
Radical simplify the expression, and eliminate any negative exponents(s). Assume that all letters denote positive numbers.
a) 6{y5}3{y2}
b) (53{x})(24{x})
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Brittany Patton
Answered 2020-12-02 Author has 100 answers
a) Formula used:
"The product of two powers with the same base a and different exponents m and n is given by, am×an=am+n.
That is, while multiplying two powers with same base, the exponents are added and the base will remain the same.
Calculation:
The given expression is 6{y5}3{y2}.
Use the definition of rational exponents and the above formula and sinplify the expression as shown below.
6{y5}3{y2}=y56×y23
=y56+23
=y32
Therefore, the simplified form of the expression is =y32.
b) Use the definition of rational exponents and the formula mentioned in sub part (a) and simplify the expression as shown below.
(53{x})(24{x})=(5x13)(2x14)
=10x13+14
=10x712
Therefore, the simplified form of the expression is 10x712

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Jeffrey Jordon
Answered 2021-10-27 Author has 2495 answers

Answer is given below (on video)

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