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Mathematics 10 Online
OpenStudy (anonymous):

What is equivalent to the equation below?

OpenStudy (anonymous):

\[\sqrt[3]{8}^{\frac{ 1 }{ 4}x}\]

OpenStudy (brittany67):

do u have any choices?

OpenStudy (anonymous):

my choices are \[8^{\frac{ 3 }{ 4}x}\] \[\sqrt[7]{8}^{x}\] \[\sqrt[12]{8}^{x}\] \[8^{\frac{ 3 }{ 4x}}\] @Brittany67

OpenStudy (brittany67):

k let me work it out for u real quick

OpenStudy (anonymous):

ok

OpenStudy (brittany67):

what do u think?

OpenStudy (bibby):

you can rewrite the root as a fractional exponent \(\sqrt[3]{8}\implies 8^\frac{1}{3}\)

OpenStudy (anonymous):

ok

OpenStudy (bibby):

|dw:1447949427700:dw| use the property that \(\large {(x^a)}^b=x^{(a*b)}\)

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