(2²)⁶ ÷ (2² X 2⁴) : Find the value.
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It is given that ,
( 2² )^6 ÷ ( 2² × 2⁴ )
= 2^2×6 ÷ 2^2+4
******************************************
We know the Exponential laws:
1 ) ( a^m )ⁿ = a^mn
2 ) a^m × a^n = a^m+n
*****************************************
= 2^12 ÷ 2^6
= 2^12-6
[ Since , ( a^m/a^n ) = a^m-n ]
= 2^6
= 64
••••••
( 2² )^6 ÷ ( 2² × 2⁴ )
= 2^2×6 ÷ 2^2+4
******************************************
We know the Exponential laws:
1 ) ( a^m )ⁿ = a^mn
2 ) a^m × a^n = a^m+n
*****************************************
= 2^12 ÷ 2^6
= 2^12-6
[ Since , ( a^m/a^n ) = a^m-n ]
= 2^6
= 64
••••••
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