2f046ca311683f491c52d25c5c20f392
2021.21
shaalaa.com
2f046ca311683f491c52d25c5c20f392
simplify :`[ 8^3a xx 2^5 xx 2^(2a) ]/[ 4 xx 2^(11a) xx 2^(-2a) ]`
shaalaa.com
2021.21
`[ 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 ]`