Question

Simplify : [8x³ ÷ 125y³]²/³

Answer 1

Answer:

bro this is a very hard question

Answer 2

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.