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weeeeeb [17]
3 years ago
14

Rewrite the radical expression as an expression with rational exponents.

Mathematics
2 answers:
natita [175]3 years ago
4 0

Answer:

x^(7/5)

Step-by-step explanation:

Root goes on bottom of fraction

Power goes on top

x^(7/5)

svetoff [14.1K]3 years ago
4 0

Answer:

x^{\frac{7}{5}}

Step-by-step explanation:

Rewrite the radical expression as an expression with rational exponents.

fifth root of x to the power of 7

\sqrt[5]{x^7}

To write the given expression with radical exponent we use the rule

\sqrt[n]{a^m}=a^{\frac{m}{n}}

Move the index n to the denominator of exponent

\sqrt[5]{x^7}=x^{\frac{7}{5}}

Expression with rational exponent is x^{\frac{7}{5}}

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