Evaluate
7^{\frac{5}{3}}\approx 25.61513997
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\left(7^{\frac{2}{3}}\right)^{\frac{5}{2}}
Use the rules of exponents to simplify the expression.
7^{\frac{2}{3}\times \frac{5}{2}}
To raise a power to another power, multiply the exponents.
7^{\frac{5}{3}}
Multiply \frac{2}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
7\times 7^{\frac{2}{3}}
Raise 7 to the power \frac{5}{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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