Question

Having trouble with rules of exponents.

Answer 1

\(\bf \cfrac{4^{-3}}{4^6}\qquad \textit{recall that}\quad a^{-n} = \cfrac{1}{a^n}\qquad thus\\ \quad \\
\cfrac{4^{-3}}{4^6}\implies \cfrac{4^{-3}}{1}\cdot \cfrac{1}{4^6}\implies 4^{-3}\cdot 4^{-6}\)

Answer 2

yeap

Answer 3

Be careful here... there is one more step.

Answer 4

You can not leave the answer with a negative exponent. Just like @jdoe0001 showed that you must change the position of the exponent when it is negative. It is the numerator so it must go to the denominator.

Answer 5

\[\frac{ 1 }{ 4^{9} }\]

Answer 6

1/4^9