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schepotkina [342]
3 years ago
7

Write the radical expression 8/^7√x^15 in exponential form

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

Answer:

8 \cdot x^{-\frac{15}{7}}

Step-by-step explanation:

Using exponent rule:

  • \sqrt[n]{a^m} = a^{\frac{m}{n}}
  • a^{-m}=\frac{1}{a^m}

Given the radical expression:

\frac{8}{\sqrt[7]{x^{15}} }

Apply the exponent rule:

\frac{8}{x^{\frac{15}{7}} }

Again apply the exponent rule:

8 \cdot x^{-\frac{15}{7}}

Therefore, the radical expression \frac{8}{\sqrt[7]{x^{15}} } in exponential form is, 8 \cdot x^{-\frac{15}{7}}

Gekata [30.6K]3 years ago
6 0
Rembber
\sqrt[n]{x^m}=x^\frac{m}{n}
and \frac{1}{x^m}=x^{-m} so

\frac{8}{ \sqrt[7]{x^{15}} }= \frac{8}{x^ \frac{15}{7} }=8x^{(\frac{-15}{7})}
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