What is ((-7)^8)/((-7)^5) ?

The solution to ((-7)^8)/((-7)^5) is -343

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((-7)^8)/((-7)^5)

\frac{( - 7 ) ^{8}}{( - 7 ) ^{5}}

- 343

Solution steps

\frac{( - 7 ) ^{8}}{( - 7 ) ^{5}}

Solve

(- 7)^{8} : 5764801

Apply exponent rule:

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

n

is even

(- 7)^{8} = 7^{8} = 5764801

= 5764801

Solve

(- 7)^{5} : - 16807

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is odd

(- 7)^{5} = - 7^{5} = - 16807

= - 16807

= \frac{5764801}{- 16807}

Simplify

\frac{5764801}{- 16807} : - 343

Apply the fraction rule:

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

= - \frac{5764801}{16807}

Divide the numbers:

\frac{5764801}{16807} = 343

= - 343

= - 343

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