What is ((-7)^{-6})/((-7)^{-4)} ?

The solution to ((-7)^{-6})/((-7)^{-4)} is 1/49

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simplify ((-7)^{-6})/((-7)^{-4)}

simplify

\frac{( - 7 ) ^{- 6}}{( - 7 ) ^{- 4}}

\frac{1}{49}

Decimal Notation

0.02040 \dots

Solution steps

\frac{( - 7 ) ^{- 6}}{( - 7 ) ^{- 4}}

Apply exponent rule:

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

= (- 7)^{- 6 - (- 4)}

Apply rule

- (- a) = a

= (- 7)^{- 6 + 4}

Add/Subtract the numbers:

- 6 + 4 = - 2

= (- 7)^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 7)^{2} = 7^{2}

= \frac{1}{7 ^{2}}

7^{2} = 49

= \frac{1}{49}

5 x^{2} + 32 x + 12

\frac{43 - 1}{4 + 2} + 10

8 y - 4 y - 2 y - 8 + 2

(- 5 x^{2} + 6 x + 6) - (6 x^{2} - 5)

What is ((-7)^{-6})/((-7)^{-4)} ?
The solution to ((-7)^{-6})/((-7)^{-4)} is 1/49