Question

What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3? 2.4 × 105 3.0 × 1011 3.0 × 105 2.4 × 1011

Answer 1

You have to use the laws of exponents and your knowledge of multiplication by 10.

So we have
$\frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} }$
We can rewrite like this


$\frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } = \frac{3.6 \times 10 \times {10}^{7} }{1.2 \times 10 \times {10}^{2} }$

So multiplying by the 10 will get read of the decimal

$\frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } = \frac{36 \times {10}^{7} }{12 \times {10}^{2} }$

Now divide the 36 by 12 , write one base of 10 subtract and the exponent of 2 from 7

$\frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } = 3 \times {10}^{7 - 2}$

$\frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } = 3 \times {10}^{5}$

Answer 2

Answer:

Option C is the correct answer.

Step-by-step explanation:

We have to find the value of  $\frac{3.6\times 10^8}{1.2\times 10^3}$

Determining

       $\frac{3.6\times 10^8}{1.2\times 10^3}=\frac{3.6}{1.2}\times \frac{10^8}{10^3}=3\times 10^{8-3}\\\\\frac{3.6\times 10^8}{1.2\times 10^3}=3\times 10^5$

Option C is the correct answer.