Question

Use the laws of exponents to simplify.

10^5/6 / 10^3/6

Answer 1

add the exponents to get
\[10^{\frac{8}{6}}\]
\[10^{\frac{4}{3}}\]

Answer 2

oh wait you are dividing!

Answer 3

its a fraction

Answer 4

in that case subtract to get
\[10^{\frac{2}{6}}\]
\[10^{\frac{1}{3}}\]

Answer 5

your only real job here was to take
\[\frac{5}{6}-\frac{3}{6}=\frac{2}{6}=\frac{1}{3}\]

Answer 6

Subtract the exponents: \[\frac{5}{6}-\frac{3}{6}=\frac{5-3}{6}=\frac{2}{6}=\frac{1}{3}\]


So the answer is \[10^{\frac{1}{3}}\]