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NGETAHUAN KUANTITATIF KUANTI24-12 eskripsi Soal Nilai bentuk 2×((1)/(2^(3)×3^(-6)))^((1)/(3))=

NGETAHUAN KUANTITATIF KUANTI2424−12-12\newlineeskripsi Soal\newlineNilai bentuk 2×(123×3−6)13= 2 \times\left(\frac{1}{2^{3} \times 3^{-6}}\right)^{\frac{1}{3}}=

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Q. NGETAHUAN KUANTITATIF KUANTI2424−12-12\newlineeskripsi Soal\newlineNilai bentuk 2×(123×3−6)13= 2 \times\left(\frac{1}{2^{3} \times 3^{-6}}\right)^{\frac{1}{3}}=
  1. Identify base and exponents: Identify the base and exponents in the expression. 2×(123×3−6)132\times\left(\frac{1}{2^3\times3^{-6}}\right)^{\frac{1}{3}}
  2. Simplify expression inside parentheses: Simplify the expression inside the parentheses.\newline(1)/(23×3−6)=(1)/(8×(1/729))=729/8(1)/(2^3\times3^{-6}) = (1)/(8\times(1/729)) = 729/8
  3. Take cube root: Take the cube root of the simplified expression.\newline(7298)13(\frac{729}{8})^{\frac{1}{3}}
  4. Calculate cube root separately: Calculate the cube root of the numerator and the denominator separately.\newlineCube root of 729729 is 99, and cube root of 88 is 22.\newline(729)1/3/(8)1/3=9/2(729)^{1/3}/(8)^{1/3} = 9/2
  5. Multiply by 22: Multiply the result by 22. \newline2×(92)2\times(\frac{9}{2})
  6. Simplify multiplication: Simplify the multiplication. 2×(92)=92\times(\frac{9}{2}) = 9

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