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Question
Simplify :
`[ 8^3a xx 2^5 xx 2^(2a) ]/[ 4 xx 2^(11a) xx 2^(-2a) ]`
Solution
`[ 8^3a xx 2^5 xx 2^(2a) ]/[ 4 xx 2^(11a) xx 2^(-2a) ]`
= `[(2^3)^(3a) xx 2^5 xx 2^(2a) ]/[ 2^2 xx 2^(11a) xx 2^(-2a)]`
=`[ 2^( 3 xx 3a ) xx 2^5 xx 2^(2a)]/[ 2^2 xx 2^(11a) xx 2^(-2a)]`
= `[2^(9a) xx 2^5 xx 2^(2a)]/[ 2^2 xx 2^(11a) xx 2^(-2a)]`
= `2^[9a + 5 + 2a - 2 - 11a + 2a]`
= `2^[ 2a + 3 ]`
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