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Flauer [41]
3 years ago
5

What is the value of 5 to the power of 4 over 5 to the power of 6?

Mathematics
2 answers:
Rudiy273 years ago
8 0
\bf a^{\frac{ n}{ m}} \implies  \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
\left( 5^{\frac{4}{5}} \right)^6\implies 5^{\frac{4}{5}\cdot 6}\implies 5^{\frac{24}{5}}\implies \sqrt[5]{5^{24}}~~
\begin{cases}
5^{24}=5^{5+5+5+5+4}\\
\qquad 5^5\cdot 5^5\cdot 5^5\cdot 5^5\cdot 5^4\\
\qquad (5^4)^5 5^4
\end{cases}
\\\\\\
\sqrt[5]{(5^4)^5 \cdot 5^4}\implies (5^4)\sqrt[5]{5^4}\implies 625\sqrt[5]{625}
lubasha [3.4K]3 years ago
7 0
If the question is 5^4 divided by 5^6 the asnwer is .04
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