Tag: index notation and products of prime factors
Questions Related to index notation and products of prime factors
The value of $\displaystyle\frac{2^{m+3}\times3^{2m-n}\times5^{m+n+3}6^{n+1}}{6^{m+1}\times10^{n+3}\times15^m}$ is equal to
What is the unit digit in ${({6374}^{1793}\times {625}^{317}\times{341}^{491})}$?
The number of values of $x\ \epsilon \ [0,5]$ at which $f(x)=|x-\dfrac{1}{4}|+|x-2|+\tan{x}$ is not differentiable are
The greatest of the number
$1,2^{1/2},3^{1/3},4^{1/4},5^{1/5}, 6^{1/6}, and \ 7^{1/7}$ is
${ 5 }^{ n }\left( n\in N \right) $ ends with ......
Find the value of $\displaystyle\frac{5^0+5^{-1}}{5^0-5^{-1}}-\left(\frac{8}{27}\right)^{\displaystyle\frac{1}{3}}-\left(\frac{36}{25}\right)^{-\displaystyle\frac{1}{3}}$
Arrange the following lengths in the increasing order of their magnitudes :
1 meter, 1 centimeter, 1 kilometer, 1 millimeter .
The wrong unit conversion among the following is
A calorie is a unit of heat energy and its value is 4.18 J where $1 J = 1 kg m^2 s^{-2}$. Suppose we use a new system of units in which unit of mass equals $\alpha$ kg, the unit of length equals $\beta$ m and the unit of the time is $\gamma$ sec. Then the value of a calorie in the new system of units is then
1 fermi is equal to