Question

Simplify 4.6 × 10 to the 7th power over(fraction) 2.3 × 10 to the 5th power

Answer 1

Answer:

$2*10^2$ or $200$

Step-by-step explanation:

$\frac{4.6 * 10^7 }{2.3*10^5}$

First, locate the powers of 10s, and simplify.

$\frac{10^7}{10^5} = 10^2$

         Why?

         $\frac{10*10*10*10*10*10*10}{10*10*10*10*10} =10*10$

         A trick you can use is as follows:

         $\frac{x^a}{x^b} =x^a^-^b$

Now, you have this:

$\frac{4.6*10^2}{2.3}$

Simplify to get this:

$2*10^2$

         Because 4.6 / 2.3 = 2.

Your answer is $2*10^2$ or $200$.