Evaluate :
(0.001)−13(0.001)^{-\dfrac{1}{3}}(0.001)−31
1 Like
Given,
Simplifying the expression :
⇒(0.001)−13⇒(11000)−13⇒[(110)3]−13⇒(110)3×−13⇒(110)−1⇒10.\Rightarrow (0.001)^{-\dfrac{1}{3}} \\[1em] \Rightarrow \Big(\dfrac{1}{1000}\Big)^{-\dfrac{1}{3}} \\[1em] \Rightarrow \Big[\Big(\dfrac{1}{10}\Big)^3\Big]^{-\dfrac{1}{3}} \\[1em] \Rightarrow \Big(\dfrac{1}{10}\Big)^{3 \times -\dfrac{1}{3}} \\[1em] \Rightarrow \Big(\dfrac{1}{10}\Big)^{-1} \\[1em] \Rightarrow 10.⇒(0.001)−31⇒(10001)−31⇒[(101)3]−31⇒(101)3×−31⇒(101)−1⇒10.
Hence, (0.001)−13=10(0.001)^{-\dfrac{1}{3}} = 10(0.001)−31=10.
Answered By
3 Likes
(8125)−13\Big(\dfrac{8}{125}\Big)^{-\dfrac{1}{3}}(1258)−31
(−27)23(-27)^{\dfrac{2}{3}}(−27)32
(0.027)−23(0.027)^{\dfrac{-2}{3}}(0.027)3−2
Evaluate the following :
(14)−2−3×(8)23×50+(916)−12\Big(\dfrac{1}{4}\Big)^{-2} - 3 \times (8)^{\dfrac{2}{3}} \times 5^0 + \Big(\dfrac{9}{16}\Big)^{-\dfrac{1}{2}}(41)−2−3×(8)32×50+(169)−21
