Example 7 - Can you tell which one is greater (5^2) x 3 or (5^2)^3 ?

 

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Example 7 Can you tell which one is greater (52) × 3 or (52)3 ? (5^2 ) × 3 = 5 × 5 × 3 = 25 × 3 = 75 (5^2 )^3 = 5^(2 × 3) = 56 = 5 × 5 × 5 × 5 × 5 × 5 = 125 × 125 = 15,625 So, (𝟓^𝟐 )^𝟑 > (𝟓)^𝟐 × 3 (As ( am)n = am × n)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.