icemanplaysYT
icemanplaysYT icemanplaysYT
  • 13-12-2018
  • Mathematics
contestada

Simplify the expression. (81x^12/3x^3)1/3 Enter your answer in the box.

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 13-12-2018

Answer:

3 x^3

Step-by-step explanation:

(81x^12/3x^3)^1/3

First step is to simplify inside the parenthesis

(81/3 * x^12/x^3) ^ 1/3

When we divide bases with the same exponent, we subtract the exponents

(27 x^(12-3) ^ 1/3

(27x^9) ^ 1/3

27 ^ 1/3  x^9 ^1/3

Power to the power rule says multiply

27 ^ 1/3  x^9 *1/3

27^1/3   x^3

3 x^3


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NedFlanders
NedFlanders NedFlanders
  • 13-12-2018
3x^3 is the right answer
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