Express each of the following in exponential notation :
(i) (−713)×(−713)×(−713)\Big(\dfrac{-7}{13}\Big) \times \Big(\dfrac{-7}{13}\Big) \times \Big(\dfrac{-7}{13}\Big)(13−7)×(13−7)×(13−7)
(ii) (−83)×(−83)×(−83)×(−83)\Big(\dfrac{-8}{3}\Big) \times \Big(\dfrac{-8}{3}\Big) \times \Big(\dfrac{-8}{3}\Big) \times \Big(\dfrac{-8}{3}\Big)(3−8)×(3−8)×(3−8)×(3−8)
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The rational number (−713)\Big(\dfrac{-7}{13}\Big)(13−7) is being multiplied by itself 3 times.
Hence, the answer is (−713)3\Big(\dfrac{-7}{13}\Big)^3(13−7)3
The rational number (−83)\Big(\dfrac{-8}{3}\Big)(3−8) is being multiplied by itself 4 times.
Hence, the answer is (−83)4\Big(\dfrac{-8}{3}\Big)^4(3−8)4
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Evaluate :
(i) 74
(ii) (-5)3
(iii) (34)5\Big(\dfrac{3}{4}\Big)^5(43)5
(iv) (−52)2\Big(\dfrac{-5}{2}\Big)^2(2−5)2
Write as a power of 10 :
(i) 10000
(ii) One Crore
(iii) One million
(i) 343512\dfrac{343}{512}512343
(ii) −32243\dfrac{-32}{243}243−32
(iii) −1128\dfrac{-1}{128}128−1
(iv) 72964\dfrac{729}{64}64729
(i) (521)3×(521)8\Big(\dfrac{5}{21}\Big)^3 \times \Big(\dfrac{5}{21}\Big)^8(215)3×(215)8
(ii) (−73)11×(−73)13\Big(\dfrac{-7}{3}\Big)^{11} \times \Big(\dfrac{-7}{3}\Big)^{13}(3−7)11×(3−7)13
(iii) (1343)7÷(1343)2\Big(\dfrac{13}{43}\Big)^7 ÷ \Big(\dfrac{13}{43}\Big)^2(4313)7÷(4313)2
(iv) (−1635)16÷(−1635)3\Big(\dfrac{-16}{35}\Big)^{16} ÷ \Big(\dfrac{-16}{35}\Big)^3(35−16)16÷(35−16)3
(v) (−715)12÷(−715)15\Big(\dfrac{-7}{15}\Big)^{12} ÷ \Big(\dfrac{-7}{15}\Big)^{15}(15−7)12÷(15−7)15
(vi) (124)13÷(124)16\Big(\dfrac{1}{24}\Big)^{13} ÷ \Big(\dfrac{1}{24}\Big)^{16}(241)13÷(241)16
