(2/3)³ x (2 /5)⁻³ x (3/5)² = _____
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Answered by
4
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
Answered by
1
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
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