How many ways can you write 5^8 as a quotient of two exponential terms? Explain your reasoning.

Question

Clare Hunter

Mathematics

27 March, 15:44

How many ways can you write 5^8 as a quotient of two exponential terms? Explain your reasoning.

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Answers (1)

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Cisco · Answer 1

Exponents can be expressed in terms of quotient or fraction.

For example: x^6 can be expressed as x^8 / x^2 = x^8-2 = x^6.

From the question, 5^8 can be expressed as

5^10/5^2 = 5^8

(5^2) (5^8) / (5^2) = 5^8