What is 7/(5(-2)^5) ?

The solution to 7/(5(-2)^5) is -7/160

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7/(5(-2)^5)

\frac{7}{5 ( - 2 ) ^{5}}

- \frac{7}{160}

Solution steps

\frac{7}{5 ( - 2 ) ^{5}}

Solve

5 (- 2)^{5} : - 160

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{5} : - 32

(- 2)^{5}

Apply exponent rule:

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

n

is odd

(- 2)^{5} = - 2^{5} = - 32

= - 32

= 5 (- 32)

Multiply and divide (left to right)

5 (- 32) : - 160

5 (- 32)

Apply rule

a \cdot (- b) = - a \cdot b

5 (- 32) = - 5 \cdot 32 = - 160

= - 160

= - 160

= \frac{7}{- 160}

Apply the fraction rule:

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

= - \frac{7}{160}

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