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Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
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Mixed Fractions
Prime Factorization
Exponents
Radicals
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Combine Like Terms
Solve for a Variable
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Evaluate Fractions
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Avaliar
-\frac{3}{10}=-0.3
−
1
0
3
=
−
0
.
3
View solution steps
Passos Para a Resolução
5 ^ { - 1 } - \frac { 1 } { 2 }
5
−
1
−
2
1
Calcule 5 elevado a -1 e obtenha \frac{1}{5}.
Calcule
5
elevado a
−
1
e obtenha
5
1
.
\frac{1}{5}-\frac{1}{2}
5
1
−
2
1
Subtraia \frac{1}{2} de \frac{1}{5} para obter -\frac{3}{10}.
Subtraia
2
1
de
5
1
para obter
−
1
0
3
.
-\frac{3}{10}
−
1
0
3
Fatorizar
\frac{{(-1)} \cdot 3}{2 \cdot 5} = -0.3
2
⋅
5
(
−
1
)
⋅
3
=
−
0
.
3
Quiz
Arithmetic
5 problems similar to:
5 ^ { - 1 } - \frac { 1 } { 2 }
5
−
1
−
2
1
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In part b, you have an interesting expression. What we will prove there is that \frac{(2n)!}{n!2^n}=1\times 3\times 5\times\cdots \times 2n-1, the product of the first n odd numbers. Base case: ...
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(1-\frac{1}{n})^m tends to zero for all n \in \mathbb{N} fixed when m tends to infinity?
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The number \dfrac 1 5 is the multiplicative inverse of 5. The function f^{-1} is the compositional inverse of f. 5^8 means 5\times5\times5\times5\times5\times5\times5\times5. The ...
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\frac{1}{5}-\frac{1}{2}
Calcule 5 elevado a -1 e obtenha \frac{1}{5}.
-\frac{3}{10}
Subtraia \frac{1}{2} de \frac{1}{5} para obter -\frac{3}{10}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Linear equation
y = 3x + 4
y
=
3
x
+
4
Arithmetic
699 * 533
6
9
9
∗
5
3
3
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]
[
2
5
3
4
]
[
2
−
1
0
1
3
5
]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
x
→
−
3
lim
x
2
+
2
x
−
3
x
2
−
9
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