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Find the Value of M for Which 5powerm Divide 5power−3 = 5power5. - Mathematics

Find the value of m for which 5m ÷5−3 = 55.

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Solution

5m ÷ 5−3 = 55

5m − (− 3) = 55 (am ÷ an = am − n)

5m + 3 = 55

Since the powers have same bases on both sides, their respective exponents must be equal.

m + 3 = 5

m = 5 − 3

m = 2

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APPEARS IN

NCERT Class 8 Maths Textbook
Chapter 12 Exponents and Powers
Exercise 12.1 | Q 5 | Page 198
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