\frac{ 2x }{ { 4 }^{ 3 } } =5 \% 7
Solve for x
x = \frac{56}{5} = 11\frac{1}{5} = 11.2
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\frac{2x}{64}=\frac{5}{100}\times 7
Calculate 4 to the power of 3 and get 64.
\frac{1}{32}x=\frac{5}{100}\times 7
Divide 2x by 64 to get \frac{1}{32}x.
\frac{1}{32}x=\frac{1}{20}\times 7
Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.
\frac{1}{32}x=\frac{7}{20}
Multiply \frac{1}{20} and 7 to get \frac{7}{20}.
x=\frac{7}{20}\times 32
Multiply both sides by 32, the reciprocal of \frac{1}{32}.
x=\frac{7\times 32}{20}
Express \frac{7}{20}\times 32 as a single fraction.
x=\frac{224}{20}
Multiply 7 and 32 to get 224.
x=\frac{56}{5}
Reduce the fraction \frac{224}{20} to lowest terms by extracting and canceling out 4.
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}