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Simplify and write the answer in the exponential form. (i) (2^5 -: 2^8)^5 xx 2^(-5) (ii) (-4)^(-3) xx (5)^(-3) xx (-5)^(-3) (iii) 1/8 xx (3)^(-3) (iv) (-3)64 xx (5/3)^4

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Solution :
(i) `(2^(5-8))^5 xx 2^-5` <br> `(2^-3)^5 xx 2^-5` <br> `2^-15 xx 2^-5` <br> `2^(-15-5) = 2^-20` <br> (ii) `(-4)^-3 xx (5)^-3 xx (-5)^-3` <br> `(-4 xx 5 xx -5)^-3` <br> `= (100)^-3` <br> (iii) `1/8 xx (3)^-3` <br> `= 1/(2^3) xx (3)^-3` <br> = `2^-3 xx 3^-3` <br> `=(2 xx3)^-3` <br> `= 6^-3` <br> (iv) `(-3)^4 xx (5/3)^4` <br> `(-3 xx 5/3)^4` <br> `= (-5)^4` <br> answers

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