calculate the quotient. express the quotient in scientific notation.\n\\frac{(8.1 \\times 10^{2})}{(6.6…

calculate the quotient. express the quotient in scientific notation.\n\\frac{(8.1 \\times 10^{2})}{(6.6 \\times 10^{-4})}\nrewrite division as a product of mantissas and characteristics.\n\\frac{8.1}{6.6} \\times \\left(\\frac{10^{2}}{10^{-4}}\\right)\nrewrite your expression using the quotient rule of powers.\n\\frac{8.1}{6.6} \\times 10^{6}\nevaluate each factor of the quotient.\n1.2273 \\times 10^{6}\ndoes the quotient need to be written in scientific notation? yes no

calculate the quotient. express the quotient in scientific notation.\n\\frac{(8.1 \\times 10^{2})}{(6.6 \\times 10^{-4})}\nrewrite division as a product of mantissas and characteristics.\n\\frac{8.1}{6.6} \\times \\left(\\frac{10^{2}}{10^{-4}}\\right)\nrewrite your expression using the quotient rule of powers.\n\\frac{8.1}{6.6} \\times 10^{6}\nevaluate each factor of the quotient.\n1.2273 \\times 10^{6}\ndoes the quotient need to be written in scientific notation? yes no

Answer

Explanation:

Step1: Apply the quotient rule of exponents

The quotient rule of exponents states that (\frac{a^{m}}{a^{n}}=a^{m - n}). For the powers of (10) in (\frac{10^{2}}{10^{-4}}), we have (10^{2-\left(-4\right)}=10^{2 + 4}=10^{6}).

Step2: Calculate the quotient of the mantissas

(\frac{8.1}{6.6}\approx1.2273) (rounded to four decimal places).

Answer:

(1.2273\times10^{6})