Evaluate. (2^(-(4)/(3)))/(54^(-(4)/(3)))=

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Evaluate.  (2^(-(4)/(3)))/(54^(-(4)/(3)))=

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Identify Base and Exponent: Identify the base and the exponent for both the numerator and the denominator. In the numerator, 2 is the base raised to the exponent -4/3. In the denominator, 54 is the base raised to the exponent -4/3.  Numerator Base: 2   Numerator Exponent: -4/3  Denominator Base: 54   Denominator Exponent: -4/3Negative Exponents Reciprocal: Recognize that negative exponents indicate the reciprocal of the base raised to the positive exponent. For the numerator, 2^(-4/3) is the reciprocal of 2^(4/3). For the denominator, 54^(-4/3) is the reciprocal of 54^(4/3).Rewrite Using Property: Rewrite the expression using the property of negative exponents. (2^(-(4)/(3)))/(54^(-(4)/(3))) = (54^(4/3))/(2^(4/3))Recognize Multiple of 2: Recognize that 54 is a multiple of 2, specifically 54 = 2 * 27. This allows us to rewrite 54 as (2 * 27) to simplify the expression further.Rewrite with Power of Product: Rewrite 54^(4/3) as (2 * 27)^(4/3). (54^(4/3))/(2^(4/3)) = ((2 * 27)^(4/3))/(2^(4/3))Apply Power of a Product: Apply the power of a product property, which states that (ab)^n = a^n * b^n. ((2 * 27)^(4/3))/(2^(4/3)) = (2^(4/3) * 27^(4/3))/(2^(4/3))Cancel Common Term: Cancel out the common term 2^(4/3) in the numerator and the denominator. (2^(4/3) * 27^(4/3))/(2^(4/3)) = 27^(4/3)Evaluate 27^(4/3): Evaluate 27^(4/3). 27 is 3^3, so we can rewrite 27^(4/3) as (3^3)^(4/3).Apply Power of a Power: Apply the power of a power property, which states that (a^n)^m = a^(n*m). (3^3)^(4/3) = 3^(3*(4/3)) = 3^4Calculate 3^4: Calculate 3^4. 3^4 = 3 * 3 * 3 * 3 = 81

Evaluate. $\newline$ $\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=$

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Evaluate.\newline2−4354−43= \frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}= 54−34​2−34​​=

Evaluate. $\newline$ $\frac{2^{-\frac{4}{3}}}{54^{-\frac{4}{3}}}=$