- 1 ^ { 2005 } ( 1 + 0,5 ) \times 3 \div 4
Evaluate
-1,125
Factor
-1,125
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\frac{-\left(1+0,5\right)\times 3}{4}
Calculate 1 to the power of 2005 and get 1.
\frac{-1,5\times 3}{4}
Add 1 and 0,5 to get 1,5.
\frac{-4,5}{4}
Multiply -1,5 and 3 to get -4,5.
\frac{-45}{40}
Expand \frac{-4,5}{4} by multiplying both numerator and the denominator by 10.
-\frac{9}{8}
Reduce the fraction \frac{-45}{40} to lowest terms by extracting and canceling out 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}