Answered

Which of the following expressions are equivalent? Justify your reasoning.

A4√x3
B1/(x^-1)
C10√x5•x4•x2
Dx^1/3 x^1/3 x^1/3

Verified Answer :

Panoyin
A\(4\sqrt{x^{3}\)
    \(4\sqrt{x^{2} * x}\)
    \(4\sqrt{x^{2}}\sqrt{x}\)
    \(4x\sqrt{x}\)

b. \(\frac{1}{x^{-1}} =x\)

c. \(10\sqrt{x^{5} * x^{4} * x^{2}}\)
    \(10\sqrt{x^{11}\)
    \(10\sqrt{x^{10}* x}\)
    \(10\sqrt{x^{10}}\sqrt{x}\)
    \(10x^{5}\sqrt{x}\)

d. \(x^{\frac{1}{3}} * x^{\frac{1}{3}} * x^{\frac{1}{3}}\)
    \(x\)

The expressions that are equivalent are B and D.

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