Question

what is 2m^3n^-6/10m^2n^3 ? help plz

Answer 1

Is this it?

\(\large \dfrac{2m^3n^{-6}}{10m^2n^3}\)

Answer 2

Yeah that is it.

Answer 3

Ok.

How do you divide powers?

What is \(\large \dfrac{5^7}{5^3} =\)

Answer 4

[5^{4}\]

Answer 5

Correct. When you divide powers with the same base, you subtract the exponents.

Answer 6

Now think of this problem as three separate problems:

\(\large \dfrac{2}{10} \times \dfrac{m^3}{m^2} \times \dfrac{n^{-6}}{n^3} \)

Simplify each fraction and multiply them together.

Answer 7

Is it m/5n^3?

Answer 8

no its not..

Answer 9

it should be m/5n^9

Answer 10

\(\large \dfrac{2}{10} \times \dfrac{m^3}{m^2} \times \dfrac{n^{-6}}{n^3}\)

\( = \large \dfrac{1}{5} \times m^{3-2} \times n^{-6-3}\)

\( = \large \dfrac{1}{5} \times m^1 \times n^{-9}\)

\(= \large \dfrac{m}{5n^9}\)