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Mathematics 14 Online
OpenStudy (anonymous):

Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power. x to the 7 elevenths power x to the 1 over 24 power x to the 31 over 24 power x to the 5 twelfths power

OpenStudy (danjs):

recall, a power of something raised to a power, you multiply the powers to simplify

OpenStudy (danjs):

\[(a^b)^c = a^{b*c}\]

OpenStudy (anonymous):

so 5 times 8 times 3 times 2 ?

OpenStudy (anonymous):

or is that wrong

OpenStudy (danjs):

says it is 2/3

OpenStudy (anonymous):

(x^5/8)^2/3

OpenStudy (danjs):

[x ^ (5/8)]^(2/3)

OpenStudy (anonymous):

ya

OpenStudy (danjs):

yes that is the problem, apply the exponent property and simplify

OpenStudy (danjs):

\[\large (x^{5/8})^{2/3}\]

OpenStudy (anonymous):

@LynFran

OpenStudy (anonymous):

i dont knew what to multiply

OpenStudy (lynfran):

multiply the powers and leave the base (which is x) |dw:1443379407631:dw|

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