Question

Simplify the following and write answer in exponential form. (3^6÷3^8)X3^-4
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Answer 1

Answer:

The answer is  $3^{-6}$ or $\frac{1}{3^6}$

Step-by-step explanation:

(3^6÷3^8) X 3^-4

(Use the laws of exponents properly)

= $\frac{3^6}{3^8} X 3^{-4}$  

( As The denominator is at higher power we subtract the power of                        denominator with the numerator)

= $\frac{1}{3^{8-6} } X \frac{1}{3^{4}}$

= $\frac{1}{3^2} X\frac{1}{3^4}$ ( Now we add the powers of two denominators )

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

=$\frac{1}{3^6}$ or $3^{-6}$