If \( a^{x}=\sqrt{b}, b^{y}=\sqrt[3]{c} \) and \( c^{z}=\sqrt{a} \) then the value of \( x y z \... VIDEO
If \( a^{x}=\sqrt{b}, b^{y}=\sqrt[3]{c} \) and \( c^{z}=\sqrt{a} \) then the value of \( x y z \) is
(a) \( \frac{1}{2} \)
(b) \( \frac{1}{3} \)
(c) \( \frac{1}{6} \)
(d) \( \frac{1}{12} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-19 Which is the correct order for a given number \( \alpha, \alpha1 \)
(a) \( \log _{2} \alpha\log ... 2023-06-19 Let \( 3^{a}=4,4^{b}=5,5^{c}=6,6^{d}=7,7^{e}=8 \) and \( 8^{f}=9 \). The value of the product (a... 2023-06-19 If \( a, b, c \in R \) and \( a, b, c \neq 0 \) such that \( \frac{a}{b}+\frac{b}{c}+\frac{c}{a}... 2023-06-19 If \( n, k \in N \), then the smallest value of \( k \) such that \( k+2 k+3 k \ldots 24 k=n^{3}... 2023-06-19 If \( 3^{x}=5^{y} \), then how many ordered pairs \( (x, y), x, y \in R \) satisfy the given equ... 2023-06-19 The number of zeros after decimal before the start of any significant digit in the number \( N=(... 2023-06-19 Number of values of \( x \) satisfying the equation \( x^{4}=|x|^{\log _{2}\left(x^{2}+12\right)... 2023-06-19 There are two positive solutions to the equation \( \log _{2 x} 2+ \) \( \log _{4} 2 x=-\frac{3}... 2023-06-19 For a real gas at \( 25^{\circ} \mathrm{C} \) temperature and high pressure \( (99 \) bar), the ... 2023-06-19 Number of real value of \( x \) satisfying the equation \( \log _{2}\left(2 x^{2}+\sqrt{2}\right... 2023-06-19 If \( a^{x}=\sqrt{b}, b^{y}=\sqrt[3]{c} \) and \( c^{z}=\sqrt{a} \) then the value of \( x y z \... 2023-06-19 Solve the equation \( \frac{3 x^{4}+x^{2}-2 x-3}{3 x^{4}-x^{2}+2 x+3}=\frac{5 x^{4}+2 x^{2}-7 x+... 2023-06-19 A sealed flask with a capacity of \( 2 \mathrm{dm}^{3} \) contains \( 11 \mathrm{~g} \) of propa... 2023-06-19 The number of prime numbers satisfying the inequality \( \frac{x^{2}-1}{2 x+5}3 \) is
(a) 1
(b) ... 2023-06-19 If \( \frac{\log a}{b-c}=\frac{\log b}{c-a}=\frac{\log c}{a-b} \), then \( a^{a} \cdot b^{b} \cd... 2023-06-19 If \( x, y, z \) are positive real number and \( a, b, c \) are rational numbers, then the value... 2023-06-19 A mixture of hydrogen and oxygen contains \( 40 \% \) hydrogen by mass when the pressure is 2.2 ... 2023-06-19 Number of real solution \( (x) \) of the equation \( |x-3|^{3 x^{2}-10 x+3} \) \( =1 \) is
(a) e... 2023-06-19 A rigid nitrogen tank stored inside a laboratory has a pressure of \( 30 \mathrm{~atm} \) at 06:... 2023-06-19 The expression \( x^{2}-y^{2}-z^{2}+2 y z+x+y-z \) has a factor
(a) \( x-y+z+1 \)
(b) \( -x+y+z ... 2023-06-19 At \( 300 \mathrm{~K} \), a sample of \( 3.0 \mathrm{~g} \) of gas A occupies the same volume as...