Question

Simplify [(3/4)⁻² ÷ (4/5)⁻³] x (3/5)⁻²

Answer 1

Hi ,

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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

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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

I hope this helps you.

: )

Answer 2

Answer:

hope it helps ✌️✌️✌️