\(\frac{125}{288}\)
\(\frac{2}{125}\)
\(\frac{4}{225}\)
\(\frac{2}{225}\)
Correct answer is A
\((216)^{-\frac{2}{3}} = (\frac{1}{216})^{\frac{2}{3}} = (\sqrt[3]{\frac{1}{216}})^{2} = (\frac{1}{6})^{2} = \frac{1}{36}\)
\((0.16)^{-\frac{3}{2}} = (\frac{100}{16})^{\frac{3}{2}} = (\sqrt{100}{16})^{3} = \frac{1000}{64}\)
\(\frac{1}{36} \times \frac{1000}{64} = \frac{125}{288}\)
Find the sum of the exponential series \(96 + 24 + 6 +...\)...
If \(\frac{15 - 2x}{(x+4)(x-3)}\) = \(\frac{R}{(x+4)}\) \(\frac{9}{7(x-3)}\), find the value of...
Find the fourth term of the binomial expansion of \((x - k)^{5}\) in descending powers of x....
Express \(\frac{13}{4}\pi\) radians in degrees....
The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio. ...
Find the coordinates of the centre of the circle \(4x^{2} + 4y^{2} - 5x + 3y - 2 = 0\)....
Find the coefficient of x\(^3\)y\(^2\) in the binomial expansion of (x-2y)\(^5\)...
Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?...