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Evaluate: 5^"N" Xx 25^("N" - 1) Div (5^("N" -1) Xx 25^("N" - 1)) - Mathematics

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Question

Evaluate: `5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`

Sum

Solution

`5^"n" xx 25^("n" - 1) div (5^("n" -1) xx 25^("n" - 1))`


`= 5^"n" xx 25^("n" - 1) xx 1/((5^("n" -1) xx 25^("n" - 1))`


`= 5^"n" xx 1/(5^("n" - 1)) = 5^("n" - "n" + 1) = 5^1`

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Laws of Exponents (Through Observing Patterns to Arrive at Generalisation.)
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Chapter 5: Exponents (Including Laws of Exponents) - Exercise 5 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 5 Exponents (Including Laws of Exponents)
Exercise 5 (B) | Q 5.6
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