Question

Simplify. Assume that no denominator is 0 and that 0^0 is not considered.
10n^7 / 15n^3

Answer 1

\[\frac{10n^7}{15n^3}\]
\[10n^7 = 2 \times 5 \times n \times n \times n \times n \times n \times n \times n\]
\[15n^3 = 3 \times 5 \times n \times n \times n\]

can you tell me what in between those two have in common?

Answer 2

5

Answer 3

and how many n?

Answer 4

3

Answer 5

yup so they are both divisible by 5n^3, this is the largest common factor

\[\huge \frac{10n^7 \div 5n^3}{15n^3 \div 5n^3}\]

what will you get?

Answer 6

2n^10/ 3n^6 ?

Answer 7

you subtract when dividing exponents
so it would be 2n^4/3

Answer 8

wow woops my bad didn't see the notification -_-
\[\huge n^m \div n^n = n^{m-n}\]
so yea that would leave you with 2n^4/3

Answer 9

thank you