Question

Multiply x^1/3 times x^3/7 .

Answer 1

do i need a common denominator?

Answer 2

or do i just multiply them

Answer 3

\[\frac{ x^1 }{ 3 } \times \frac{ x^3 }{ 7 }\]
you just multiply it.

Answer 4

Use this rule
\[\LARGE x^{a} * x^{b} = x^{a+b}\]
to get
\[\LARGE x^{1/3} * x^{3/7} = x^{1/3+3/7} = ??\]

Answer 5

to add 1/3 to 3/7, yes you will need a common denominator

Answer 6

so it ends up x^3/21

Answer 7

if i just multiply it

Answer 8

\[x ^{a}\times x ^{b}=x ^{a+b}\]

Answer 9

a=1 b=3

Answer 10

try again

Answer 11

x^1 times x^3 = x^4?

Answer 12

yes

Answer 13

now what ? @Shalante

Answer 14

You thought the answer was x^3/21 earlier but it is x^4/21
The denominator you multiplied was correct, but your numerator was not.
Now both are correct.

Answer 15

\[ x^{1/3}\times x^{3/7}=x^{1/3+3/7}=x^{7/21+9/21}=x^{(7+9)/21}\]