Evaluate
\frac{400}{9}\approx 44.444444444
Factor
\frac{2 ^ {4} \cdot 5 ^ {2}}{3 ^ {2}} = 44\frac{4}{9} = 44.44444444444444
Quiz
Arithmetic
5 problems similar to:
\sqrt { \frac { 1.6 \times 10 ^ { 9 } } { 8.1 \times 10 ^ { 5 } } }
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\sqrt{\frac{1.6\times 10^{4}}{8.1}}
Cancel out 10^{5} in both numerator and denominator.
\sqrt{\frac{1.6\times 10000}{8.1}}
Calculate 10 to the power of 4 and get 10000.
\sqrt{\frac{16000}{8.1}}
Multiply 1.6 and 10000 to get 16000.
\sqrt{\frac{160000}{81}}
Expand \frac{16000}{8.1} by multiplying both numerator and the denominator by 10.
\frac{400}{9}
Rewrite the square root of the division \frac{160000}{81} as the division of square roots \frac{\sqrt{160000}}{\sqrt{81}}. Take the square root of both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}