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Popular >

simplify ((-5)^5)/((-5)^{-6)}

Solution

simplify

\frac{( - 5 ) ^{5}}{( - 5 ) ^{- 6}}

Solution

- 48828125

Solution steps

\frac{( - 5 ) ^{5}}{( - 5 ) ^{- 6}}

Apply exponent rule:

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

= (- 5)^{5 - (- 6)}

Apply rule

- (- a) = a

= (- 5)^{5 + 6}

Add the numbers:

5 + 6 = 11

= (- 5)^{11}

Apply exponent rule:

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

if

n

is odd

(- 5)^{11} = - 5^{11}

= - 5^{11}

5^{11} = 48828125

= - 48828125

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Frequently Asked Questions (FAQ)

What is ((-5)^5)/((-5)^{-6)} ?
The solution to ((-5)^5)/((-5)^{-6)} is -48828125