Evaluate
512u^{\frac{9}{4}}t^{9}
Expand
512u^{\frac{9}{4}}t^{9}
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2^{9}t^{9}\left(u^{\frac{1}{4}}\right)^{9}
Expand \left(2tu^{\frac{1}{4}}\right)^{9}.
2^{9}t^{9}u^{\frac{9}{4}}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{4} and 9 to get \frac{9}{4}.
512t^{9}u^{\frac{9}{4}}
Calculate 2 to the power of 9 and get 512.
2^{9}t^{9}\left(u^{\frac{1}{4}}\right)^{9}
Expand \left(2tu^{\frac{1}{4}}\right)^{9}.
2^{9}t^{9}u^{\frac{9}{4}}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{4} and 9 to get \frac{9}{4}.
512t^{9}u^{\frac{9}{4}}
Calculate 2 to the power of 9 and get 512.
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