Question

hola, A [(-1).(-2).(-3)]⁸ ÷ [(-6)³]²

B [(-2).(-3).(-4)]²

C [(-1)³÷(-1)³]³
Con procedimiento​

Answer 1

Respuesta:

el primero es igual a100 el segundo es 1

Answer 2

Respuesta:

a) 36

b) 576

c) 1

Explicación paso a paso:

a)

$\frac{\left(\left(-1\right)\left(-2\right)\left(-3\right)\right)^8}{\left(\left(-6\right)^3\right)^2}$

$=\frac{\left(-1\cdot \:2\cdot \:3\right)^8}{\left(\left(-6\right)^3\right)^2}$

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$\left(-1\cdot \:2\cdot \:3\right)^8=\left(-6\right)^8=6^8$

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$=\frac{6^8}{\left(\left(-6\right)^3\right)^2}$

$\left(\left(-6\right)^3\right)^2=\left(-6^3\right)^2=\left(6^3\right)^2$

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$=\frac{6^8}{\left(6^3\right)^2}$

$\left(6^3\right)^2=6^{3\cdot \:2}=6^6$

$\frac{6^8}{6^6}=6^{8-6}$

$=6^2\\=36$

b)

$\left[\left(-2\right)\left(-3\right)\left(-4\right)\right]^2$

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$\left(-2\right)\left(-3\right)\left(-4\right)=6\left(-4\right)=-24$

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$=\left(-24\right)^2\\=576$

c)

$\left[\left(-1\right)^3\div \left(-1\right)^3\right]^3$

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$\left(-1\right)^3\div \left(-1\right)^3\\=-1\div \left(-1\right)^3\\=-1\div \left(-1\right)\\=1$

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$=1^3\\=1$