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Simplificar: y2.y.y3.y5.y6y4.y3.y2.y\frac{y^2.y.y^3.y^5.y^6}{y^4.y^3.y^2.y}y4.y3.y2.yy2.y.y3.y5.y6
y7y^7y7
y5y^5y5
y4y^4y4
y8y^8y8
y3y^3y3
Reducir: 32x+7. 33x−23x. 34x+2\frac{3^{2x+7}.\ 3^{3x-2}}{3^x.\ 3^{4x+2}}3x. 34x+232x+7. 33x−2
27
81
3
9
243
Calular :45454. 33Calular\ :\frac{45^4}{5^4.\ 3^3}Calular :54. 33454
25
(12)−3+(13)−2+(14)−3+321\left(\frac{1}{2}\right)^{-3}+\left(\frac{1}{3}\right)^{-2}+\left(\frac{1}{4}\right)^{-3}+3^{2^1}(21)−3+(31)−2+(41)−3+321
90
91
92
89
88
Calcular:
0
1
2
(xy . y−x)−w(yx)w−y (xy)x−w\frac{\left(x^y\ .\ y^{-x}\right)^{-w}}{\left(y^x\right)^{w-y}\ \left(x^y\right)^{x-w}}(yx)w−y (xy)x−w(xy . y−x)−w
(yx)yx\left(\frac{y}{x}\right)^{yx}(xy)yx
yx\frac{y}{x}xy
xy\frac{x}{y}yx
(xy)yx\left(\frac{x}{y}\right)^{yx}(yx)yx
y0x\frac{y^0}{x}xy0
[(42)3]0 . 4310\left[\left(4^2\right)^3\right]^0\ .\ 4^{3^{1^0}}[(42)3]0 . 4310
64
16
4
256
1024
(109)3 .(108)−3.(98)3\left(\frac{10}{9}\right)^{3\ }.\left(\frac{10}{8}\right)^{-3}.\left(\frac{9}{8}\right)^3(910)3 .(810)−3.(89)3
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