Question

math picture Below

Answer 1

what is \(\frac{10}{5}\) ?

Answer 2

2

Answer 3

k good so ignore C and D

Answer 4

how about \[\frac{x^5}{x^2}\] ?

Answer 5

if it is not clear, let me know and i will tell you

Answer 6

oh 5 divded b 2 is

Answer 7

2.5

Answer 8

ok not quite

Answer 9

\[x^5=x\times x\times x\times x\times x\] and \[x^2=x\times x\] so
\[\frac{x^5}{x^2}=\frac{x\times x\times x\times x\times x}{x\times x}\]

Answer 10

OH OK

Answer 11

is it B

Answer 12

then cancel two of the \(x\)'s\[\frac{x^5}{x^2}=\frac{\cancel{x}\times \cancel{x}\times x\times x\times x}{\cancel{x}\times\cancel x}\]

Answer 13

why did we cancel

Answer 14

because you have common factors top and bottom of \(x\)

Answer 15

oh

Answer 16

like computing
\[\frac{5\times 5\times 5\times 5\times 5}{5\times 5}\]

Answer 17

of course it is much easier just to use the law of exponents that says \[\large \frac{x^n}{x^m}=x^{m-n}\] i.e. when you divide, you subtract the exponents