Question

express 9 power -13 as an exponent with a positive power and base 3.​

Answer 1

Step-by-step explanation:

1/9¹³

=(1/3²)¹³

=(1/3)¹³×2

=(1/3)²⁶

Answer 2

ANSWER✔

$\sf\therefore \dfrac{1}{9}^{13}$

$\sf\implies \bigg( \dfrac{1}{3^2} \bigg)^{13}$

$\sf\implies \dfrac{1^13}{9^13}$

$\sf\implies \dfrac{1}{\big((3)^2\big)^13}\:---[\big( (a^m) \big)^n=a^{ m \times n}$

$\sf\implies \dfrac{1}{3^{2 \times 13}}$

$\sf\implies \dfrac{1}{3^{26}}$

$\sf\implies \dfrac{1}{2541865828329}$

$\large{\boxed{\bf{ \star\:\: \dfrac{1}{2541865828329}\:\: \star}}}$

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