निम्नलिखित प्रत्येक का मान ज्ञात कीजिए :
(i) `2^(3) xx 2^(2)`, (ii) `3^(5) ÷ 3^(2)`, (iii) `(5^(2))^(3)`, (iv) `(3/4)^(3)`, (v) `(2/3)^(-3)` , (vi) `2^(4) xx 2^(-4)`

Explanation

(i) `2^(3) xx 2^(2) = 2^(3+2) = 2^(5) = 2 xx 2 xx 2 xx 2 xx 2 = 32`
(ii) `3^(5) ÷ 3^(2) = 3^(5-2) = 3^(3) = 3xx3xx3= 27`
(iii) `(5^(2))^(3) = 5^(2xx3) = 5^(6) = 5 xx 5 xx 5 xx 5 xx 5 xx 5 =15625`
(iv) `(3/4)^(3) = 3/4 xx 3/4 xx 3/4 = (27)/(64)`
(v) `(2/3)^(-3) = (1)/((2/3)^(3)) = (3/2)^(3) = 3/2 xx 3/2 xx 3/2 = (27)/(8)`
(vi) `2^(4) xx 2^(-4) = 2^(4+(-4)) = 2^(0) = 1`