umeric expression with the resulting value (4^(4)×3^(2)×4^(-2))/(4×3^(-1)×3^(0))

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umeric expression with the resulting value  (4^(4)×3^(2)×4^(-2))/(4×3^(-1)×3^(0))

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Simplify Numerator and Denominator: First, let's simplify the numerator and the denominator separately by using the properties of exponents. Numerator: 4^(4)×3^(2)×4^(-2) Denominator: 4×3^(-1)×3^(0)Combine Like Terms in Numerator: In the numerator, we can combine the terms with the same base by subtracting the exponents when the bases are multiplied. 4^(4)×4^(-2) = 4^(4-2) = 4^2 So the numerator becomes 4^2×3^2.Simplify Denominator: In the denominator, we can simplify the terms with the base 3. 3^(-1)×3^(0) = 3^(-1+0) = 3^(-1) So the denominator becomes 4×3^(-1).Rewrite Expression: Now we rewrite the expression with the simplified numerator and denominator: (4^2×3^2) / (4×3^(-1))Divide Terms with Same Base: Next, we can simplify the expression further by dividing the terms with the same base. (4^2 / 4) × (3^2 / 3^(-1))Simplify Each Part: Simplify each part separately: 4^2 / 4 = 4^(2-1) = 4^1 = 4 3^2 / 3^(-1) = 3^(2-(-1)) = 3^(2+1) = 3^3Multiply Simplified Terms: Now multiply the simplified terms: 4 × 3^3Calculate 3^3: Calculate the value of 3^3: 3^3 = 3 × 3 × 3 = 27Final Answer: Finally, multiply 4 by 27 to get the final answer: 4 × 27 = 108

Numeric expression with the resulting value $\newline$ $(4^{4}\times3^{2}\times4^{-2})/(4\times3^{-1}\times3^{0})$

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Numeric expression with the resulting value\newline(44×32×4−2)/(4×3−1×30)(4^{4}\times3^{2}\times4^{-2})/(4\times3^{-1}\times3^{0})(44×32×4−2)/(4×3−1×30)

Numeric expression with the resulting value $\newline$ $(4^{4}\times3^{2}\times4^{-2})/(4\times3^{-1}\times3^{0})$