SOLUTION: i'm not understanding how to simplify radicals. The expression (cube root of 27x^2) times (cube root of 16x^4) is equivalent to

Question 933784: i'm not understanding how to simplify radicals.
The expression (cube root of 27x^2) times (cube root of 16x^4) is equivalent to
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The expression (cube root of 27x^2) times (cube root of 16x^4) is equivalent to
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= cbrt[27x^2*16x^4]
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= cbrt(3^3*2^3*x^6 *2]]
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= 3*2*x^2 *cbrt(2)
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= 6x^2*cbrt(2)
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Cheers,
Stan H.
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

..........use a root of product rule:

....write as , as ,and as

.....since ,, and we have

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