Evaluate the expression: (16/49)^3/2
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Evaluate the expression: (16/49)^3/2

[From: ] [author: ] [Date: 12-05-12] [Hit: ]
......
Please help? What should i do?

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Rational(Fractional) Exponents - denominator is root, numerator is power

(16/49) ^(3/2)

(square root of num and denom)³

(4/7)³ = 64/343

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raise the entire fraction to the third power (or cube both the top term and the bottom term) then take the square root of the fraction. you should get 64/343

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64/243

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(16/49)^(3/2)

= ( (16/49)^(1/2) )^3

= (√(16/49))^3

= (4/7)^3

= 64/343
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