HELPPP WILL MAKE BRAINLIEST Describe the error in the work shown. 3vx(y^12)/4^3 = 3vx^3(y^12)/3v4^3 =3vx^3(y^3)^4/3v4^3 =xy^3/4
HELPPP WILL MAKE BRAINLIEST
Describe the error in the work shown.
3vx(y^12)/4^3 = 3vx^3(y^12)/3v4^3
=3vx^3(y^3)^4/3v4^3
=xy^3/4
The error in the work shown is in the second step of the calculation. Let's break down the incorrect step and identify the mistake:
3vx(y^12)/4^3 = 3vx^3(y^12)/3v4^3
The error occurs when simplifying the expression under the square root. The expression (y^12) is incorrectly simplified to (y^3)^4.
The correct simplification should be:
3vx^3(y^12)/3v4^3 = 3vx^3(y^3)^4/3v4^3
The mistake is that (y^12) cannot be simplified to (y^3)^4. In this step, the exponent should be divided by 3, not raised to the power of 4.
The correct simplification should be:
3vx^3(y^12)/3v4^3 = 3vx^3(y^4)/3v4^3
Therefore, the final simplified expression should be xy^4/4, instead of xy^3/4.
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