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Q3 of 53 Page 32

If (2^m)⁴ = 4⁶, find the value of m.

(2^m)⁴ = 4⁶

⇒ (4^m)² = 4⁶

Since the bases are same so their powers can be equated

2m = 6

⇒ m = 3

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Questions · 53

10. Exponents

1 1 1 2 2 2 3 1 1 2 3 1 1 2 3 4 1 1 2 3 1 1 1 2 3 1 1 1 2 3 1 1 1 2 3 4 4 4 1 1 1 1 1 2 3 3 3 4 5 6 7 8 9

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