What is (6^{-3000})/(6^{-3000)} ?

The solution to (6^{-3000})/(6^{-3000)} is 1

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simplify (6^{-3000})/(6^{-3000)}

simplify

\frac{6 ^{- 3000}}{6 ^{- 3000}}

1

Solution steps

\frac{6 ^{- 3000}}{6 ^{- 3000}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 6^{- 3000 - (- 3000)}

Apply rule

- (- a) = a

= 6^{- 3000 + 3000}

Add/Subtract the numbers:

- 3000 + 3000 = 0

= 6^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

(0.4 x^{5}) (0.9 x^{3})

e^{4 x - 2} e^{x + 1}

e^{x} \cdot e^{l n (x)}

e^{- l n (x + x^{2} + 1)}

e^{- 0.606}