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simplificar sqrt(\sqrt{\sqrt{\sqrt{5 32/16)}}}

Solución

simplificar

5 \frac{32}{16}

167

Decimal

1.12932 \dots

Pasos de solución

5 \frac{32}{16}

Convertir los números mixtos a fracciones impropias:

5 \frac{32}{16} = \frac{112}{16}

= \frac{112}{16}

\frac{112}{16} : 4 \frac{112}{16}

= 4 \frac{112}{16}

Aplicar las leyes de los exponentes:

a = a^{\frac{1}{2}}

= (4 \frac{112}{16})^{\frac{1}{2}}^{\frac{1}{2}}

Aplicar las leyes de los exponentes:

(a^{b})^{c} = a^{b c}

= (4 \frac{112}{16})^{\frac{1}{2} \cdot \frac{1}{2}}

\frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}

= (4 \frac{112}{16})^{\frac{1}{4}}

a^{\frac{1}{n}} = n a

= 4 4 \frac{112}{16}

Aplicar las leyes de los exponentes:

n a = a^{\frac{1}{n}}

= ((\frac{112}{16})^{\frac{1}{4}})^{\frac{1}{4}}

Aplicar las leyes de los exponentes:

(a^{b})^{c} = a^{b c}

= (\frac{112}{16})^{\frac{1}{4} \cdot \frac{1}{4}}

\frac{1}{4} \cdot \frac{1}{4} = \frac{1}{16}

= (\frac{112}{16})^{\frac{1}{16}}

a^{\frac{1}{n}} = n a

= 16 \frac{112}{16}

Dividir:

\frac{112}{16} = 7

= 167

x^{2} (a - x)^{2} (12 x^{2} - 12 a x + 2 a^{2})

33 \cdot 14.40279 \cdot e^{- 0.2 \cdot 14.40279}

(5 n^{7} m^{9}) \cdot (7 n^{2} m^{5})

e^{- 0.0602700000000 \dots \cdot 24} \cdot 50

3.02 \cdot 1 0^{- 1}