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enyata [817]
3 years ago
11

Write each expression below in radical form and compute the value without using a calculator.

Mathematics
1 answer:
gregori [183]3 years ago
5 0

Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:

a^{\frac{b}{c}}=\sqrt[c]{a^b}

So, you have

25^{\frac{5}{2}}=\sqrt{25^5}=\sqrt{(5^2)^5}=5^5

And similarly,

81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7

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