Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 7 over 8 power, all over 2 to the 1 over 4 power

Question

Serrano

Mathematics

25 March, 11:58

Rewrite the rational exponent as a radical by extending the properties of integer exponents. 2 to the 7 over 8 power, all over 2 to the 1 over 4 power

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Answers (1)

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Abraham Bishop · Answer 1

Recall the quotient rule of exponents: x^a/x^b = x^ (a-b)

So

2^ (7/8) / 2^ (1/4)

=2^ (7/8-1/4)

=2^ ((7-2) / 8)

=2^ (5/8)

=8 radical 2^5

=8 radical (32)