The value of (81)−24\sqrt[4]{(81)^{-2}}4(81)−2 is
19\dfrac{1}{9}91
13\dfrac{1}{3}31
9
181\dfrac{1}{81}811
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Given,
⇒(81)−24=[(181)2]14=(181)12=19.\Rightarrow \sqrt[4]{(81)^{-2}} = \Big[\Big(\dfrac{1}{81}\Big)^{2}\Big]^{\dfrac{1}{4}} \\[1em] = \Big(\dfrac{1}{81}\Big)^{\dfrac{1}{2}} = \dfrac{1}{9}.⇒4(81)−2=[(811)2]41=(811)21=91.
Hence, Option 1 is the correct option.
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2234\sqrt[4]{\sqrt[3]{2^2}}4322 is equal to
2−162^{-\dfrac{1}{6}}2−61
2-6
2162^{\dfrac{1}{6}}261
26
The product 23.24.3212\sqrt[3]{2}.\sqrt[4]{2}.\sqrt[12]{32}32.42.1232 equals
2\sqrt{2}2
2
212\sqrt[12]{2}122
3212\sqrt[12]{32}1232
Value of (256)0.16 × (256)0.09 is
4
16
64
256.25
Which of the following is equal to x?
