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2 months ago

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Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo

ot? Assume y not-equals 0.
(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)
(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)
(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)
(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)

2 answers:

Inessa [12.5K]2 months ago

8 0

Answer:

Choice A.

Detailed explanation:

The provided expression is

$\dfrac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$

where, $y\neq 0$ .

Our goal is to identify an expression that matches the one given.

The current expression can be expressed as

$\dfrac{(x^2)^{\frac{1}{7}}}{(y^3)^{\frac{1}{5}}}$ $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

$\dfrac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}$ $[\because (a^m)^n=a^{mn}]$

$x^{\frac{2}{7}}y^{-\frac{3}{5}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

Thus, the right choice is A.

AnnZ [12.3K]2 months ago

8 0

Response:

the answer is A on edgenuity

Detailed explanation:

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