(3/5)² X (1/3)² ÷ (1/5)² : Find the value.
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Given ( 3/5 )² × ( 1/3 )² ÷ ( 1/5 )²
[ We know the Exponential laws :
1 ) aⁿ × bⁿ = ( ab )ⁿ
2 ) aⁿ/bⁿ = ( a/b )ⁿ ]
= [ ( 3/5 ) × ( 1/3 ) ÷ ( 1/5 ) ]²
= [ ( 3/5 ) × 1/3 × 5/1 ]²
= [ ( 3 × 1 × 5 )/( 5 × 3 × 1 ) ]²
After cancellation , we get
= 1²
= 1
•••••
[ We know the Exponential laws :
1 ) aⁿ × bⁿ = ( ab )ⁿ
2 ) aⁿ/bⁿ = ( a/b )ⁿ ]
= [ ( 3/5 ) × ( 1/3 ) ÷ ( 1/5 ) ]²
= [ ( 3/5 ) × 1/3 × 5/1 ]²
= [ ( 3 × 1 × 5 )/( 5 × 3 × 1 ) ]²
After cancellation , we get
= 1²
= 1
•••••
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