11/5 x 4/3 x 10/33 x 13/8 x 1/26 = 1/18 plis ayudaaaa en números raciones
10/3 x 2/9 x 9/5 x 8/7 x 1/14 x 2/5 = 16/35
( - 3/4 ) 1/2 (- 5/3) 8/5 = 1
Respuestas a la pregunta
Respuesta:
1 Usa Regla del Uno: {x}^{1}=xx
1
=x.
\frac{11}{5}\times \frac{{x}^{4}}{3}\times \frac{{x}^{10}}{33}\times \frac{{x}^{13}}{8}\times \frac{x}{26}=\frac{1}{18}
5
11
×
3
x
4
×
33
x
10
×
8
x
13
×
26
x
=
18
1
2 Reagrupa los términos.
\frac{11}{5\times 3\times 33\times 8\times 26}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
5×3×33×8×26
11
x
4
x
10
x
13
x=
18
1
3 Simplifica 5\times 35×3 a 1515.
\frac{11}{15\times 33\times 8\times 26}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
15×33×8×26
11
x
4
x
10
x
13
x=
18
1
4 Simplifica 15\times 3315×33 a 495495.
\frac{11}{495\times 8\times 26}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
495×8×26
11
x
4
x
10
x
13
x=
18
1
5 Simplifica 495\times 8495×8 a 39603960.
\frac{11}{3960\times 26}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
3960×26
11
x
4
x
10
x
13
x=
18
1
6 Simplifica 3960\times 263960×26 a 102960102960.
\frac{11}{102960}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
102960
11
x
4
x
10
x
13
x=
18
1
7 Simplifica \frac{11}{102960}
102960
11
a \frac{1}{9360}
9360
1
.
\frac{1}{9360}{x}^{4}{x}^{10}{x}^{13}x=\frac{1}{18}
9360
1
x
4
x
10
x
13
x=
18
1
8 Simplifica \frac{1}{9360}{x}^{4}{x}^{10}{x}^{13}x
9360
1
x
4
x
10
x
13
x a \frac{{x}^{4}{x}^{10}{x}^{13}x}{9360}
9360
x
4
x
10
x
13
x
.
\frac{{x}^{4}{x}^{10}{x}^{13}x}{9360}=\frac{1}{18}
9360
x
4
x
10
x
13
x
=
18
1
9 Usa Regla del Producto: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
\frac{{x}^{4+10+13+1}}{9360}=\frac{1}{18}
9360
x
4+10+13+1
=
18
1
10 Simplifica 4+104+10 a 1414.
\frac{{x}^{14+13+1}}{9360}=\frac{1}{18}
9360
x
14+13+1
=
18
1
11 Simplifica 14+1314+13 a 2727.
\frac{{x}^{27+1}}{9360}=\frac{1}{18}
9360
x
27+1
=
18
1
12 Simplifica 27+127+1 a 2828.
\frac{{x}^{28}}{9360}=\frac{1}{18}
9360
x
28
=
18
1
13 Multiplica ambos lados por 93609360.
{x}^{28}=\frac{1}{18}\times 9360
x
28
=
18
1
×9360
14 Simplifica \frac{1}{18}\times 9360
18
1
×9360 a \frac{9360}{18}
18
9360
.
{x}^{28}=\frac{9360}{18}
x
28
=
18
9360
15 Simplifica \frac{9360}{18}
18
9360
a 520520.
{x}^{28}=520
x
28
=520
16 Toma la raíz de 2828th de ambos lados.
x=\pm \sqrt[28]{520}
x=±
28
520
Hecho
Forma Decimal: ±1.250259
2 respuesta de : 10/3 x 2/9 x 9/5 x 8/7 x 1/14 x 2/5 = 16/35
1 Usa Regla del Uno: {x}^{1}=xx
1
=x.
\frac{10}{3}\times \frac{{x}^{2}}{9}\times \frac{{x}^{9}}{5}\times \frac{{x}^{8}}{7}\times \frac{x}{14}\times \frac{{x}^{2}}{5}=\frac{16}{35}
3
10
×
9
x
2
×
5
x
9
×
7
x
8
×
14
x
×
5
x
2
=
35
16
2 Reagrupa los términos.
\frac{10}{3\times 9\times 5\times 7\times 14\times 5}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
3×9×5×7×14×5
10
x
2
x
9
x
8
xx
2
=
35
16
3 Simplifica 3\times 93×9 a 2727.
\frac{10}{27\times 5\times 7\times 14\times 5}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
27×5×7×14×5
10
x
2
x
9
x
8
xx
2
=
35
16
4 Simplifica 27\times 527×5 a 135135.
\frac{10}{135\times 7\times 14\times 5}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
135×7×14×5
10
x
2
x
9
x
8
xx
2
=
35
16
5 Simplifica 135\times 7135×7 a 945945.
\frac{10}{945\times 14\times 5}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
945×14×5
10
x
2
x
9
x
8
xx
2
=
35
16
6 Simplifica 945\times 14945×14 a 1323013230.
\frac{10}{13230\times 5}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
13230×5
10
x
2
x
9
x
8
xx
2
=
35
16
7 Simplifica 13230\times 513230×5 a 6615066150.
\frac{10}{66150}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
66150
10
x
2
x
9
x
8
xx
2
=
35
16
8 Simplifica \frac{10}{66150}
66150
10
a \frac{1}{6615}
6615
1
.
\frac{1}{6615}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}=\frac{16}{35}
6615
1
x
2
x
9
x
8
xx
2
=
35
16
9 Simplifica \frac{1}{6615}{x}^{2}{x}^{9}{x}^{8}x{x}^{2}
6615
1
x
2
x
9
x
8
xx
2
a \frac{{x}^{2}{x}^{9}{x}^{8}x{x}^{2}}{6615}
6615
x
2
x
9
x
8
xx
2
.
\frac{{x}^{2}{x}^{9}{x}^{8}x{x}^{2}}{6615}=\frac{16}{35}
6615
x
2
x
9
x
8
xx
2
=
35
16
10 Usa Regla del Producto: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
\frac{{x}^{2+9+8+1+2}}{6615}=\frac{16}{35}
6615
x
2+9+8+1+2
=
35
16
11 Simplifica 2+92+9 a 1111.
\frac{{x}^{11+8+1+2}}{6615}=\frac{16}{35}
6615
x
11+8+1+2
=
35
16
12 Simplifica 11+811+8 a 1919.
\frac{{x}^{19+1+2}}{6615}=\frac{16}{35}
6615
x
19+1+2
=
35
16
13 Simplifica 19+119+1 a 2020.
\frac{{x}^{20+2}}{6615}=\frac{16}{35}
6615
x
20+2
=
35
16
14 Simplifica 20+220+2 a 2222.
\frac{{x}^{22}}{6615}=\frac{16}{35}
6615
x
22
=
35
16
15 Multiplica ambos lados por 66156615.
{x}^{22}=\frac{16}{35}\times 6615
x
22
=
35
16
×6615
16 Usa esta regla: \frac{a}{b} \times c=\frac{ac}{b}
b
a
×c=
b
ac
.
{x}^{22}=\frac{16\times 6615}{35}
x
22
=
35
16×6615
17 Simplifica 16\times 661516×6615 a 105840105840.
{x}^{22}=\frac{105840}{35}
x
22
=
35
105840
18 Simplifica \frac{105840}{35}
35
105840
a 30243024.
{x}^{22}=3024
x
22
=3024
19 Toma la raíz de 2222th de ambos lados.
x=\pm \sqrt[22]{3024}
x=±
22
3024
Hecho
Forma Decimal: ±1.439489
Explicación paso a paso:
espero ayudarte coronita plis
-\frac{1\times -5\times 8}{4\times 2\times 5}=1
−
4×2×5
1×−5×8
=1
-\frac{-5\times 8}{4\times 2\times 5}=1
−
4×2×5
−5×8
=1
6 Simplifica -5\times 8−5×8 a -40−40.
-\frac{-40}{4\times 2\times 5}=1
−
4×2×5
−40
=1
7 Simplifica 4\times 24×2 a 88.
-\frac{-40}{8\times 5}=1
−
8×5
−40
=1
8 Simplifica 8\times 58×5 a 4040.
-\frac{-40}{40}=1
−
40
−40
=1
9 Mueve el símbolo negativo a la izquierda.
-(-1)=1
−(−1)=1
10 Eliminar paréntesis.
1=1
1=1
11 Ya que ambos lados son iguales, hay infinitas soluciones.
Soluciones Infinitas
Hecho
1 Eliminar paréntesis.
-\frac{3}{4}\times \frac{1}{2}\times \frac{-5}{3}\times \frac{8}{5}=1
−
4
3
×
2
1
×
3
−5
×
5
8
=1
2 Cancela 33.
-\frac{1}{4}\times \frac{1}{2}\times -5\times \frac{8}{5}=1
−
4
1
×
2
1
×−5×
5
8
=1
3 Usa esta regla: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
-\frac{1\times 1\times -5\times 8}{4\times 2\times 5}=1
−
4×2×5
1×1×−5×8
=1