Simplify : [8x³ ÷ 125y³]²/³
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Answer:
bro this is a very hard question
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4x² / 25y²
Explanation:
8x³ ÷ 125y³]²/³
= [8x³ / 125y³]²/³
= (8x³)²/³ / (125y³)²/³
= (2³x³)²/³ / (5³y³)²/³
= (2x)² / (5y)²
= 4x² / 25y²
8 can be factored as 2 * 2 * 2, so 8 = 2³
125 can be factored as 5 * 5 * 5, so 125 = 5³
In exponentiation, the powers can be written as (x³)²/³ = x(³*²/³)
So 3 and 1/3 get cancelled, leaving only 2 in the power.
(x³)²/³ = x²
Thus the above equation is simplified.
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