Evaluate
\frac{64\delta _{1}}{27}
Expand
\frac{64\delta _{1}}{27}
Share
Copied to clipboard
\delta _{1}\times \frac{16}{9}\times \frac{1\times 3+1}{3}
Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.
\delta _{1}\times \frac{16}{9}\times \frac{3+1}{3}
Multiply 1 and 3 to get 3.
\delta _{1}\times \frac{16}{9}\times \frac{4}{3}
Add 3 and 1 to get 4.
\delta _{1}\times \frac{16\times 4}{9\times 3}
Multiply \frac{16}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\delta _{1}\times \frac{64}{27}
Do the multiplications in the fraction \frac{16\times 4}{9\times 3}.
\delta _{1}\times \frac{16}{9}\times \frac{1\times 3+1}{3}
Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.
\delta _{1}\times \frac{16}{9}\times \frac{3+1}{3}
Multiply 1 and 3 to get 3.
\delta _{1}\times \frac{16}{9}\times \frac{4}{3}
Add 3 and 1 to get 4.
\delta _{1}\times \frac{16\times 4}{9\times 3}
Multiply \frac{16}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
\delta _{1}\times \frac{64}{27}
Do the multiplications in the fraction \frac{16\times 4}{9\times 3}.
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}