Question

Rewrite in simplest radical form x^5/6 divided by x^1/6

Answer 1

when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]

Answer 2

Do you subtract both the bottom number and the top number or just the top one?

Answer 3

just subtract their exponents
top exponent `minus` bottom exponents
base would stay the same

Answer 4

.67

Answer 5

hmm we need to write it in radical form so keep the fraction

Answer 6

How?

Answer 7

how did you get .67 ??

Answer 8

i mean what did you subtract to get .67 what did you type into the calculator ?

Answer 9

I subtract 5/6 from 1/6

Answer 10

yes so \[\huge\rm \frac{ 5 }{ 6 }-\frac{ 1 }{ 6 }\] what's the common denominator ?

Answer 11

6

Answer 12

x^4/6?

Answer 13

yes right so since the denominator of both fraction are the same \[\frac{ 5-1 }{ 6 }\]
so you can just subtract the numbers in the numerator

Answer 14

yes right reduce the fraction

Answer 15

x^2/3?

Answer 16

yes right now apply the exponent rule to convert into radical form \[\huge\rm \sqrt[n]{x^m}=x^\frac{ m }{ n}\]

Answer 17

\[\sqrt[3]{x ^{2}}\]

Answer 18

looks good