Question

(2/3)³ x (2 /5)⁻³ x (3/5)² = _____

Answer 1

Answer:

1 ) ( a/b )^-n = ( b/a )ⁿ

2 ) a^-n = 1/aⁿ

3) ( a/b )ⁿ = aⁿ/bⁿ

4 ) a^m × a^n = a^m+n

Here ,

[ (3/4)^-2 ÷ ( 4/5 )^-3 ] × ( 3/5 )^-2

= ( 4/3 )² × ( 4/5 )³ × ( 5/3 )²

= ( 4² × 4³ × 5² )/( 3² × 5³ × 3² )

= ( 4^2+3 )/( 3^2+2 × 5^3-2 )

= ( 4^5 )/( 3⁴ × 5 )

= 1024/405

Answer 2

Step-by-step explanation:

(2/3)³ x (2 /5)⁻³ x (3/5)²

8/27 x 125/8 x 9 /25

5/3