(i) \(\frac{7}{24}\)-\(\frac{17}{36}\)
L.C.M of 24 and 36 is 72.
\(\frac{7}{24}\)-\(\frac{17}{36}\) = \(\frac{7\times3}{24\times3}-\frac{17\times2}{36\times2}\) = \(\frac{21}{72}\)= -\(\frac{13}{72}\)
(ii) \(\frac{5}{63}\)-(\(-\frac{6}{21}\))
= \(\frac{5}{63}+\frac{2}{7}\)
= L.C.M of 63 and 7 is 63.
\(\frac{5}{63}+\frac{2}{7}\)= \(\frac{5}{63}+\frac{18}{63}\) =\(\frac{5+18}{63}\) = \(\frac{23}{63}\)
Using laws of exponents, simplify and write the answer in exponential form:
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x×72 (v) (52) ÷ 53 (vi) 25 × 55 (vii) a4 × b4 (viii) (34)3(ix) (220 ÷ 215)×23 (x) 8t ÷ 82