What is ((-5)^7)/((-5)^4) ?

The solution to ((-5)^7)/((-5)^4) is -125

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((-5)^7)/((-5)^4)

\frac{( - 5 ) ^{7}}{( - 5 ) ^{4}}

- 125

Solution steps

\frac{( - 5 ) ^{7}}{( - 5 ) ^{4}}

Solve

(- 5)^{7} : - 78125

Apply exponent rule:

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

n

is odd

(- 5)^{7} = - 5^{7} = - 78125

= - 78125

Solve

(- 5)^{4} : 625

Follow the PEMDAS order of operations

Apply exponent rule:

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

n

is even

(- 5)^{4} = 5^{4} = 625

= 625

= \frac{- 78125}{625}

Simplify

\frac{- 78125}{625} : - 125

Apply the fraction rule:

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

= - \frac{78125}{625}

Divide the numbers:

\frac{78125}{625} = 125

= - 125

= - 125

\frac{12}{1 2 ^{2} + 1 6 ^{2}}

5 + 6 - 6

2 \times [(71 + 6) \div 11 + 7]

\frac{5}{9} (90 - 32)

1 4^{2} + 3^{2}