Question

Simplify and write in exponential form (3^6 ÷3^8 )

4 ×3 ^- 4​

Answer 1

Answer:

3^6/3^8=3^-2= (1/3)^2 =(1/9)

Answer 2

$(3^{6} \div 3^{8})^4 \times 3^{-4}$

$= \Big(\frac{3^{6}}{3^{8}}\Big)^{4} \times \frac{1}{3^{4}}$

$= \Big(\frac{1}{3^{8-6}}\Big)^{4} \times \frac{1}{3^{4}}$

$\boxed{ \pink{ \frac{a^{m}}{a^{n}} = \frac{1}{a^{n-m}} }}$

$= \frac{1}{(3^{2})^{4}} \times \frac{1}{3^{4}}$

$= \frac{1}{3^{2\times 4 } \times 3^{4}}$

$= \frac{1}{3^{8+4}}$

$= \frac{1}{3^{12}}$

$Therefore.,$

$\red{(3^{6} \div 3^{8})^4 \times 3^{-4}}(3$

$\green { = \frac{1}{3^{12}}}$

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