MST0117 MST0117

04-03-2018
Mathematics

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Explain why (√10)^3d is equivalent to (10^d)^3/2

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WaleMaths WaleMaths

04-03-2018

(√10)^3d

A law in indices.. √a = a^1/2

(10)^3d/2

(10)^3/2 × d

(10)^d×3/2

A law in indices also..

(a²)² = (a) ²*²

Therefore:-

(10)^d×3/2 will eventually give..

(10^d)^3/2... As required....

Hope this helped...

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