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Say true or false and justify your answer: 2^3 × 3^2 = 6^5

 Say true or false and justify your answer:   2^3 × 3^2 = 6^5

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let us consider LHS = 2^3× 3^2
Expansion of 2^3× 3^2 = 2 × 2 × 2 × 3 × 3
= 72
Now, consider RHS = 6^5
Expansion of 6^5= 6 × 6 × 6 × 6 × 6
= 7776
By comparing LHS and RHS,
LHS < RHS
2^3< 5^2
Hence, the given statement is false.

Thanks

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