Question

Solve (1/3)² ÷ (1/3)⁷ = 3ⁿ ​

Answer 1

Answer:

n=5

Step-by-step explanation:

(1/3)^2 divided by (1/3)^7 = 243

3^5=243

Answer 2

Answer:

n = 5

Step-by-step explanation:

$\frac{(\frac{1}{3})^{2} }{(\frac{1}{3})^{7} } =(\frac{1}{3} )^{2-7} =(\frac{1}{3})^{-5}$

$(\frac{1}{3} )^{-5} =\frac{1}{(\frac{1}{3})^{5} } =\frac{1}{\frac{1}{3^{5} } } =3^{5}$

$3^{5} =3^{n}$

$n=5$

Hope this helps