Question

the simplest form of (13)^1/5÷(13)^1/3 is​

Answer 1

FULL ANSWER WITH STEPS

\frac{13^{\frac{1}{5}}}{13^{\frac{1}{3}}}

13

3

1

13

5

1

=13^{\frac{1}{5}-\frac{1}{3}}=13

5

1

−

3

1

[∵ \frac{x^{a}}{x^{b}}=x^{a-b}

x

b

x

a

=x

a−b

=13^{\frac{3-5}{15}}=13

15

3−5

=13^{\frac{-2}{15}}=13

15

−2

=13^{-\frac{2}{15}}=13

−

15

2

=\frac{1}{13^{\frac{2}{15}}}=

13

15

2

1

[∵ x^{-a}=\frac{1}{x^{a}}x

−a

=

x

a

1

Here's your answer !

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