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Blababa [14]
4 years ago
7

What is the simplified value of the exponential expression 16^1/14

Mathematics
1 answer:
Nina [5.8K]4 years ago
4 0

16=2^4\\\\16^\frac{1}{14}=(2^4)^\frac{1}{14}=2^{4\cdot\frac{1}{14}}=2^\frac{4}{14}=2^\frac{2}{7}=\sqrt[7]{2^2}=\sqrt[7]4



\text{used:}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}

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-----    ----

-10     -10

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