Question

calcule as potências de expoentes fracionados.

a ) 4½. b ) 27⅓. c ) 8 ⅔.

mim ajude prfv​

Answer 1

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$\tt a)~\sf 4^{\frac{1}{2}}=(2^{\diagup\!\!\!2})^\frac{1}{\diagup\!\!\!2}=2\checkmark\\\tt b)~\sf 27^{\frac{1}{3}}=(3^{\diagup\!\!\!3})^{\frac{1}{\diagup\!\!\!3}}=3\checkmark\\\tt c)~\sf8^{\frac{2}{3}}=(2^{\diagup\!\!\!3})^{\frac{2}{\diagup\!\!\!3}}=2^2=4\checkmark$

Answer 2

Oie, Td Bom?!

a)

$4 {}^{ \frac{1}{2} } = (2 {}^{2} ) {}^{ \frac{1}{2} } = 2 {}^{2 \: . \: \frac{1}{2} } = 2 {}^{1} = 2$

b)

$27 {}^{ \frac{1}{3} } = (3 {}^{3} ) {}^{ \frac{1}{3} } = 3 {}^{3 \: . \: \frac{1}{3} } = 3 {}^{1} = 3$

c)

$8 {}^{ \frac{2}{3} } = (2 {}^{3} ) {}^{ \frac{2}{3} } = 2 {}^{3 \: . \: \frac{2}{3} } = 2 {}^{2} = 4$

Att. Makaveli1996