Evaluate. (256^((4)/(7)))/(2^((4)/(7)))=

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Evaluate.  (256^((4)/(7)))/(2^((4)/(7)))=

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Identify Equation & Simplify: Identify the equation and recognize that we can simplify the expression by using the property of exponents that allows us to divide two powers with the same exponent by subtracting their bases. (256^(4/7))/(2^(4/7)) = (256/2)^(4/7)Calculate Bases Division: Calculate the division of the bases 256 and 2. 256 / 2 = 128Write Result as Power: Write the result of the division as a single power of 2. 128 is a power of 2, specifically 2^7, because 2 multiplied by itself 7 times equals 128. 128 = 2^7Substitute Value in Expression: Substitute the value of 128 with 2^7 in the original expression. (256^(4/7))/(2^(4/7)) = (2^7)^(4/7)Simplify Exponents: Simplify the exponents by multiplying them. When raising a power to another power, we multiply the exponents. (2^7)^(4/7) = 2^(7 * 4 / 7)Calculate Exponents: Calculate the multiplication and division of the exponents. 7 * 4 / 7 = 4Write Final Expression: Write the final simplified expression. 2^(7 * 4 / 7) = 2^4Calculate Final Value: Calculate the value of 2^4. 2^4 = 2 * 2 * 2 * 2 2^4 = 16

Evaluate. $\newline$ $\frac{256^{\frac{4}{7}}}{2^{\frac{4}{7}}}=$

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Evaluate.\newline25647247= \frac{256^{\frac{4}{7}}}{2^{\frac{4}{7}}}= 274​25674​​=

Evaluate. $\newline$ $\frac{256^{\frac{4}{7}}}{2^{\frac{4}{7}}}=$