What is (-13)\div (-13)^8 ?

The solution to (-13)\div (-13)^8 is -1/62748517

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(-13)\div (-13)^8

(- 13) \div (- 13)^{8}

- \frac{1}{62748517}

Solution steps

(- 13) \div (- 13)^{8}

Follow the PEMDAS order of operations

Calculate exponents

(- 13)^{8} : 815730721

(- 13)^{8}

Apply exponent rule:

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

n

is even

(- 13)^{8} = 1 3^{8} = 815730721

= 815730721

= (- 13) \div 815730721

Multiply and divide (left to right)

(- 13) \div 815730721 : \frac{( - 13 )}{815730721}

(- 13) \div 815730721

Apply rule

(- a) \div b = - a \div b

(- 13) \div 815730721 = - 13 \div 815730721 = \frac{( - 13 )}{815730721}

= \frac{( - 13 )}{815730721}

= \frac{( - 13 )}{815730721}

Simplify

\frac{( - 13 )}{815730721} : - \frac{1}{62748517}

Apply the fraction rule:

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

= - \frac{13}{815730721}

Cancel the common factor:

13

= - \frac{1}{62748517}

3^{0} - 5

4 - [5 - 7 - (8 - 2)] + 11 - 5

(\frac{3}{2} + 2) \cdot (2 - \frac{12}{7})

5 - 2 - (- 3) - 6

5 + 10 \div 5 \times 2