Question

Simplify this expression and put your final answer in Scientific Notation: 2.7*10^5/3.2*10^7. Tell all steps

Answer 1

Answer:

8.4375 * 10^-3

Step-by-step explanation:

$\frac{2.7 \times 10^5}{3.2 \times 10^7} = \frac{2.7}{3.2} \times \frac{10^5}{10^7}$

According to the laws of exponents,

$\frac{a^m}{a^n} = a^{m - n}$

Therefore,

$0.84375 \times \frac{10^5}{10^7}\\\to 0.84375 \times 10^{5 - 7}\\\to 0.84375 \times 10^{-2}$

In scientific notation,

$8.4375 \times 10^{-3}$