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aleksandrvk [35]
3 years ago
9

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)
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
8 0

Answer:

Option A.

Step-by-step explanation:

The given expression is

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

where, y\neq 0.

We need to find the expression which is equivalent to the given expression.

The given expression can be rewritten 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}]

Therefore, the correct option is A.

Contact [7]3 years ago
8 0

Answer:

it is A on edgenuity

Step-by-step explanation:

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