simplificar (9/16)^{1/4}left(9/16)^{-1}(9/16)^{3/4}

Solución

simplificar

(\frac{9}{16})^{\frac{1}{4}} l e f t (\frac{9}{16})^{- 1} (\frac{9}{16})^{\frac{3}{4}}

e l f t

Pasos de solución

(\frac{9}{16})^{\frac{1}{4}} l e f t (\frac{9}{16})^{- 1} (\frac{9}{16})^{\frac{3}{4}}

Aplicar las leyes de los exponentes:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{9}{16})^{\frac{1}{4}} (\frac{9}{16})^{\frac{3}{4}} = (\frac{9}{16})^{\frac{1}{4} + \frac{3}{4}}

= l e f t (\frac{9}{16})^{- 1} (\frac{9}{16})^{\frac{1}{4} + \frac{3}{4}}

Combinar las fracciones usando el mínimo común denominador:

1

= e (\frac{9}{16})^{- 1} (\frac{9}{16})^{1} l f t

Aplicar la regla

a^{1} = a

(\frac{9}{16})^{1} = \frac{9}{16}

= e (\frac{9}{16})^{- 1} \frac{9}{16} l f t

Aplicar las leyes de los exponentes:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{9}{16})^{- 1} \frac{9}{16} = (\frac{9}{16})^{- 1 + 1}

= l e f t (\frac{9}{16})^{- 1 + 1}

Sumar/restar lo siguiente:

- 1 + 1 = 0

= l e f t (\frac{9}{16})^{0}

Aplicar la regla

a^{0} = 1, a \neq = 0

= 1 e l f t

Multiplicar:

t \cdot 1 = t

= e l f t

(7 x^{5}) (8 x)

3.45 \cdot 1 0^{- 3}

3

7.5 \cdot \frac{1 0 ^{- 27}}{0.25} \cdot 1 0^{- 29}

\frac{2 ( 2651 - 221 21 )}{8111}