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-2
−
2
Lihat langkah-langkah penyelesaian
Langkah Solusi
{ \left( \frac{ 1 }{ 5 } \right) }^{ -1 } - { \left( \frac{ 1 }{ 7 } \right) }^{ -1 }
(
5
1
)
−
1
−
(
7
1
)
−
1
Hitung \frac{1}{5} sampai pangkat -1 dan dapatkan 5.
Hitung
5
1
sampai pangkat
−
1
dan dapatkan
5
.
5-\left(\frac{1}{7}\right)^{-1}
5
−
(
7
1
)
−
1
Hitung \frac{1}{7} sampai pangkat -1 dan dapatkan 7.
Hitung
7
1
sampai pangkat
−
1
dan dapatkan
7
.
5-7
5
−
7
Kurangi 7 dari 5 untuk mendapatkan -2.
Kurangi
7
dari
5
untuk mendapatkan
−
2
.
-2
−
2
Faktor
\left(-1\right)\times 2
(
−
1
)
×
2
Kuis
Arithmetic
5 soal serupa dengan:
{ \left( \frac{ 1 }{ 5 } \right) }^{ -1 } - { \left( \frac{ 1 }{ 7 } \right) }^{ -1 }
(
5
1
)
−
1
−
(
7
1
)
−
1
Soal yang Mirip dari Pencarian Web
Find a smallest value of the expression {\frac{1}{3} \; a^{2} - 4 \; a + \frac{3}{4}} [closed]
Find a smallest value of the expression
3
1
a
2
−
4
a
+
4
3
[closed]
https://math.stackexchange.com/q/1939744
Note that \begin{align} \frac{1}{3}a^2-4a+\frac{3}{4} &= \left(\frac{a}{\sqrt{3}}\right)^2 - 2\left(\frac{a}{\sqrt{3}}\right)(2\sqrt{3}) + (2\sqrt{3})^2-12+\frac{3}{4} \\ & = \left( ...
Note that \begin{align} \frac{1}{3}a^2-4a+\frac{3}{4} &= \left(\frac{a}{\sqrt{3}}\right)^2 - 2\left(\frac{a}{\sqrt{3}}\right)(2\sqrt{3}) + (2\sqrt{3})^2-12+\frac{3}{4} \\ & = \left( ...
Showing (1-\frac{1}{n}) - (1-\frac{1}{n})^n is an increasing sequence?
Showing
(
1
−
n
1
)
−
(
1
−
n
1
)
n
is an increasing sequence?
https://math.stackexchange.com/questions/1537759/showing-1-frac1n-1-frac1nn-is-an-increasing-sequence
I thought it might be instructive to prove this inequality using only Bernoulli's Inequality and some straightforward arithmetic. To that end, we proceed. Let s_n=\left(1-\frac1n\right)-\left(1-\frac1n\right)^n ...
I thought it might be instructive to prove this inequality using only Bernoulli's Inequality and some straightforward arithmetic. To that end, we proceed. Let
s
n
=
(
1
−
n
1
)
−
(
1
−
n
1
)
n
...
Applying the laws of exponents, how do we simplify \displaystyle{\left({16}^{{-\frac{{1}}{{2}}}}\right)}^{{-\frac{{1}}{{2}}}} ?
Applying the laws of exponents, how do we simplify
(
1
6
−
2
1
)
−
2
1
?
https://socratic.org/questions/applying-the-laws-of-exponents-how-do-we-simplify-16-1-2-1-2
\displaystyle{2} Explanation: \displaystyle\text{using the }\ \text{laws of exponents} \displaystyle•{\left({x}\right)}{\left({a}^{{m}}\right)}^{{n}}={a}^{{{m}{n}}} \displaystyle•{\left({x}\right)}{a}^{{\frac{{m}}{{n}}}}={\sqrt[{{n}}]{{{a}^{{m}}}}} ...
2
Explanation:
using the
laws of exponents
•
(
x
)
(
a
m
)
n
=
a
m
n
•
(
x
)
a
n
m
=
n
a
m
...
Finding a value of a to satisfy an expression of the form a*(1-\frac{1}{b})^{(a-1)} = r
Finding a value of
a
to satisfy an expression of the form
a
∗
(
1
−
b
1
)
(
a
−
1
)
=
r
https://math.stackexchange.com/questions/236902/finding-a-value-of-a-to-satisfy-an-expression-of-the-form-a1-frac1b
We have \begin{align*} a\left(1-\frac{1}{b}\right)^{a-1} &= r \\ a\left(1-\frac{1}{b}\right)^a &= \left(1-\frac{1}{b}\right)r \\ a e^{a \log\left(1-\frac{1}{b}\right)} &= \left(1-\frac{1}{b}\right)r \\ a \log\left(1-\frac{1}{b}\right) e^{a \log\left(1-\frac{1}{b}\right)} &= \left(1-\frac{1}{b}\right)r\log\left(1-\frac{1}{b}\right), \end{align*} ...
We have ...
How do you simplify \displaystyle{\left(-\frac{{1}}{{5}}\right)}^{{-{{2}}}}+{\left(-{2}\right)}^{{-{{2}}}} ?
How do you simplify
(
−
5
1
)
−
2
+
(
−
2
)
−
2
?
https://socratic.org/questions/how-do-you-simplify-1-5-2-2-2
\displaystyle\frac{{1}}{{\left(-\frac{{1}}{{5}}\right)}^{{2}}}+\frac{{1}}{{\left(-{2}\right)}^{{2}}}={25}\frac{{1}}{{4}} Explanation: As \displaystyle{a}^{{-{n}}}=\frac{{1}}{{a}^{{n}}} , \displaystyle{\left(-\frac{{1}}{{5}}\right)}^{{-{2}}}+{\left(-{2}\right)}^{{-{2}}} ...
(
−
5
1
)
2
1
+
(
−
2
)
2
1
=
2
5
4
1
Explanation: As
a
−
n
=
a
n
1
,
(
−
5
1
)
−
2
+
(
−
2
)
−
2
...
Finding a node in a full binary tree: expected number of comparisons
Finding a node in a full binary tree: expected number of comparisons
https://math.stackexchange.com/questions/1237223/finding-a-node-in-a-full-binary-tree-expected-number-of-comparisons
I didn't check every detail but the answer looks about right. Intuitively, most of the nodes are near the leaves, because the levels near the root have very few nodes, for instance the first half of ...
I didn't check every detail but the answer looks about right. Intuitively, most of the nodes are near the leaves, because the levels near the root have very few nodes, for instance the first half of ...
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5-\left(\frac{1}{7}\right)^{-1}
Hitung \frac{1}{5} sampai pangkat -1 dan dapatkan 5.
5-7
Hitung \frac{1}{7} sampai pangkat -1 dan dapatkan 7.
-2
Kurangi 7 dari 5 untuk mendapatkan -2.
Contoh
Persamaan kuadrat
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Persamaan linear
y = 3x + 4
y
=
3
x
+
4
Aritmetika
699 * 533
6
9
9
∗
5
3
3
Matriks
\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
]
Persamaan simultan
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Diferensial
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integral
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limit
\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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