Question

I will medal for answer
Which of the following expressions are equivalent? Justify your reasoning.

A.4√x3
B.1/ x^−1
C.10√x5•x4•x2
D.x^1/3 •x^1/3 •x^1/3

Answer 1

@Cas_fangirl_14

Answer 2

A. \[\sqrt[4]{ x^{3} } = x^{3/4}\]
B. \[\frac{1}{ x^{-1} } = x \]
C. \[ x^{1/3} * x^{1/3} * x^{1/3} = x\]
D. \[x^{1/3} * x^{1/3} * x^{1/3} = x\]
B and D are equivalent.

Answer 3

thanks so much

Answer 4

but I also need the justification

Answer 5

I need the justification so I can atleast see how u got the answer and I can understand myself

Answer 6

The justifications for all of these are rules of exponents.

Answer 7

\(\Large \sqrt[10]{x^5} \cdot x^4 \cdot x^2 = x^{\frac{5}{10}} \cdot x^4 \cdot x^2 =\)

\(\Large =x^{\frac{1}{2}} \cdot x^4 \cdot x^2 = x^{\frac{13}{2} } = \sqrt{x^{13}} \)