Evaluate
0.9375
Factor
\frac{3 \cdot 5}{2 ^ {4}} = 0.9375
Share
Copied to clipboard
1-\left(2-0.5\right)\times \frac{1}{3}\left(\left(-\frac{1}{2}\right)^{2}-\left(\frac{1}{2}\right)^{3}\right)
Calculate 1 to the power of 4 and get 1.
1-1.5\times \frac{1}{3}\left(\left(-\frac{1}{2}\right)^{2}-\left(\frac{1}{2}\right)^{3}\right)
Subtract 0.5 from 2 to get 1.5.
1-\frac{3}{2}\times \frac{1}{3}\left(\left(-\frac{1}{2}\right)^{2}-\left(\frac{1}{2}\right)^{3}\right)
Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.
1-\frac{3\times 1}{2\times 3}\left(\left(-\frac{1}{2}\right)^{2}-\left(\frac{1}{2}\right)^{3}\right)
Multiply \frac{3}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
1-\frac{1}{2}\left(\left(-\frac{1}{2}\right)^{2}-\left(\frac{1}{2}\right)^{3}\right)
Cancel out 3 in both numerator and denominator.
1-\frac{1}{2}\left(\frac{1}{4}-\left(\frac{1}{2}\right)^{3}\right)
Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.
1-\frac{1}{2}\left(\frac{1}{4}-\frac{1}{8}\right)
Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.
1-\frac{1}{2}\left(\frac{2}{8}-\frac{1}{8}\right)
Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{1}{8} to fractions with denominator 8.
1-\frac{1}{2}\times \frac{2-1}{8}
Since \frac{2}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.
1-\frac{1}{2}\times \frac{1}{8}
Subtract 1 from 2 to get 1.
1-\frac{1\times 1}{2\times 8}
Multiply \frac{1}{2} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.
1-\frac{1}{16}
Do the multiplications in the fraction \frac{1\times 1}{2\times 8}.
\frac{16}{16}-\frac{1}{16}
Convert 1 to fraction \frac{16}{16}.
\frac{16-1}{16}
Since \frac{16}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.
\frac{15}{16}
Subtract 1 from 16 to get 15.
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}