evaluate \( \sqrt{\frac{0.0048 \times 0.81 \times 10^{-7}}{0.027 \times 0.04 \times 10^{6}}} \)

Calculate or simplify the expression \( \sqrt{\frac{0.0048 \times 0.81 \times 10^{-7}}{0.027 \times 0.04 \times 10^{6}}} \). Calculate the value by following steps: - step0: Calculate: \(\sqrt{\frac{0.0048\times 0.81\times 10^{-7}}{0.027\times 0.04\times 10^{6}}}\) - step1: Multiply by \(a^{-n}:\) \(\sqrt{\frac{0.0048\times 0.81\times 10^{-7}\times 10^{-6}}{0.027\times 0.04}}\) - step2: Multiply: \(\sqrt{\frac{\frac{243}{62500\times 10^{13}}}{0.027\times 0.04}}\) - step3: Multiply the numbers: \(\sqrt{\frac{\frac{243}{62500\times 10^{13}}}{0.00108}}\) - step4: Divide the numbers: \(\sqrt{\frac{9}{20480\times 5^{13}}}\) - step5: Use the properties of radicals: \(\frac{\sqrt{9}}{\sqrt{20480\times 5^{13}}}\) - step6: Simplify the expression: \(\frac{3}{\sqrt{20480\times 5^{13}}}\) - step7: Multiply by the Conjugate: \(\frac{3\sqrt{20480\times 5^{13}}}{\sqrt{20480\times 5^{13}}\times \sqrt{20480\times 5^{13}}}\) - step8: Multiply the numbers: \(\frac{3\sqrt{20480\times 5^{13}}}{20480\times 5^{13}}\) The result of the expression \( \sqrt{\frac{0.0048 \times 0.81 \times 10^{-7}}{0.027 \times 0.04 \times 10^{6}}} \) is \( 6 \times 10^{-7} \).