What is ((-17)^5)/((-17)^2) ?

The solution to ((-17)^5)/((-17)^2) is -4913

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((-17)^5)/((-17)^2)

\frac{( - 17 ) ^{5}}{( - 17 ) ^{2}}

- 4913

Solution steps

\frac{( - 17 ) ^{5}}{( - 17 ) ^{2}}

Solve

(- 17)^{5} : - 1419857

Apply exponent rule:

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

n

is odd

(- 17)^{5} = - 1 7^{5} = - 1419857

= - 1419857

Solve

(- 17)^{2} : 289

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is even

(- 17)^{2} = 1 7^{2} = 289

= 289

= \frac{- 1419857}{289}

Simplify

\frac{- 1419857}{289} : - 4913

Apply the fraction rule:

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

= - \frac{1419857}{289}

Divide the numbers:

\frac{1419857}{289} = 4913

= - 4913

= - 4913

2^{3} \cdot 3^{2} \cdot 5

2^{3} \cdot 3^{2} \cdot 7

(- 4 - 5)^{3}

(- 1 - 3)^{2} - 2

\times + 2 (\times (- 2))