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Question
(256)0.16 × (256)0.09
Options
4
16
64
256.25
Solution
We have to find the value of `(256)^0.16 xx (256)^0.09`So,
By using law of rational exponents
`a^m xx a^n = a^(m+n)` we get
`(256)^0.16 xx (256)^0.09 = (256)^0.16 xx (256)^0.09`
=`(256)^(0.16+0.09)`
= `256^(0.25)`
=`(256)^(25/100)`
`(256)^0.16 xx (256)^0.09 = 2^(8 xx 25/100)`
= `2^(8 xx 25/100)`
` = 2^(8 xx 1/4)`
` = 2^(8 xx 1/4)`
= 4
The value of `(256)^0.16 xx (256)^0.09 `is 4
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