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How do you simplify and write ${(- 216)}^{\frac{2}{3}}$ $(-216)^( 2/3)$ with positive exponents?

1 Answer

Oct 15, 2016

${(- 216)}^{\frac{2}{3}} = {(- 6)}^{2} = 36$ $(-216)^(2/3)=(-6)^2=36$

Explanation:

$- 216 = {(- 6)}^{3}$ $-216=(-6)^3$

${(- 216)}^{\frac{2}{3}}$ $(-216)^(2/3)$
$XXX = {({(- 216)}^{\frac{1}{3}})}^{2}$ $color(white)("XXX")=((-216)^(1/3))^2$

$XXX = ({({(- 6)}^{3})}^{\frac{1}{3}}))^{2}$ $color(white)("XXX")=(((-6)^3)^(1/3)))^2$

$XXX = {(- 6)}^{2}$ $color(white)("XXX")=(-6)^2$

$XXX = 36$ $color(white)("XXX")=36$

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