Write each expression below in radical form and compute the value without using a calculator. a. 25 5/2 b. 81 7/4

Question

Write each expression below in radical form and compute the value without using a calculator.
a. 25 5/2
b. 81 7/4

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Everleigh 5 days 2021-11-25T11:49:40+00:00 1 Answer 0

Answers ( )

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    2021-11-25T11:50:45+00:00

    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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