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8.3 simplify rational exponents (homework)
score: 11.05/25 answered: 12/25
question 13
rewrite without negative or fractional exponents.
\\(\frac{5}{11}z^{\frac{5}{7}}=\\)
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Explanation:

Step1: Recall exponent rule

The rule for a fractional exponent $a^{\frac{m}{n}}=\sqrt[n]{a^{m}}$. Here $a = z$, $m = 5$ and $n=7$. So $z^{\frac{5}{7}}=\sqrt[7]{z^{5}}$.

Step2: Write the final - form

The expression $\frac{5}{11}z^{\frac{5}{7}}$ without negative or fractional exponents is $\frac{5}{11}\sqrt[7]{z^{5}}$.

Answer:

$\frac{5}{11}\sqrt[7]{z^{5}}$