Evaluate
256y^{4}x^{40}
Expand
256y^{4}x^{40}
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2^{8}\left(x^{5}\right)^{8}\left(y^{\frac{1}{2}}\right)^{8}
Expand \left(2x^{5}y^{\frac{1}{2}}\right)^{8}.
2^{8}x^{40}\left(y^{\frac{1}{2}}\right)^{8}
To raise a power to another power, multiply the exponents. Multiply 5 and 8 to get 40.
2^{8}x^{40}y^{4}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{2} and 8 to get 4.
256x^{40}y^{4}
Calculate 2 to the power of 8 and get 256.
2^{8}\left(x^{5}\right)^{8}\left(y^{\frac{1}{2}}\right)^{8}
Expand \left(2x^{5}y^{\frac{1}{2}}\right)^{8}.
2^{8}x^{40}\left(y^{\frac{1}{2}}\right)^{8}
To raise a power to another power, multiply the exponents. Multiply 5 and 8 to get 40.
2^{8}x^{40}y^{4}
To raise a power to another power, multiply the exponents. Multiply \frac{1}{2} and 8 to get 4.
256x^{40}y^{4}
Calculate 2 to the power of 8 and get 256.
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Limits
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