Question

calculate.
\frac{8.8 \times 10^{7}}{5.5 \times 10^{-6}}
write your answer in scientific notation.

Explanation:

Step1: Separate the coefficients and exponents

We can rewrite the fraction as the product of two fractions: one with the coefficients and one with the powers of 10. So, \(\frac{8.8\times 10^{7}}{5.5\times 10^{-6}}=\frac{8.8}{5.5}\times\frac{10^{7}}{10^{-6}}\)

Step2: Simplify the coefficient fraction

Calculate \(\frac{8.8}{5.5}\). We know that \(8.8\div5.5 = 1.6\)

Step3: Simplify the power of 10 fraction

Using the rule of exponents \(\frac{a^{m}}{a^{n}}=a^{m - n}\), for \(\frac{10^{7}}{10^{-6}}\), we have \(10^{7-(-6)}=10^{7 + 6}=10^{13}\)

Step4: Multiply the results from Step2 and Step3

Multiply \(1.6\) and \(10^{13}\) to get \(1.6\times 10^{13}\)

Answer:

\(1.6\times 10^{13}\)