Application of law of indices

Algebra Level 2

Which of the following laws of indices can be used to explain why 4 × 4 = 16 4 \times 4 = 16 ?

A. a m × a n = a m + n a^m \times a^n= a^{m+n}

B. ( a m ) n = a m n (a^m)^n= a^{mn}

C. a m × b m = ( a b ) m a^m \times b^m = (ab)^m

Note: a, m and n have to be positive integers STRICTLY GREATER than 1.

All of them A C B

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Noel Lo by Noel Lo , 24, Singapore

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1 solution

Noel Lo
Apr 27, 2015

A. 4 × 4 = 2 2 × 2 2 = 2 2 + 2 = 2 4 4 \times 4 = 2^2 \times 2^2 = 2^{2+2} = 2^4

B. 4 × 4 = 4 2 = ( 2 2 ) 2 = 2 2 × 2 = 2 4 4 \times 4 = 4^2 = (2^2)^2 = 2^{2 \times 2} = 2^4

C. 4 × 4 = 2 2 × 2 2 = ( 2 × 2 ) 2 = 4 2 4 \times 4 = 2^2 \times 2^2 = (2 \times 2)^2 = 4^2

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Good Solution!

Swapnil Das - 6 years, 1 month ago

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Thank you!!!

Noel Lo - 6 years, 1 month ago

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Noel, Join our Brilliantian discussion on Google!

Swapnil Das - 6 years, 1 month ago

Nicely Explained!

Sravanth C. - 6 years, 1 month ago

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Thank you!!!

Noel Lo - 6 years, 1 month ago

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