What is (-9^4)\div 9^5 ?

The solution to (-9^4)\div 9^5 is -1/9

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(-9^4)\div 9^5

(- 9^{4}) \div 9^{5}

- \frac{1}{9}

Solution steps

(- 9^{4}) \div 9^{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 9^{4}) : - 6561

= - 6561 \div 9^{5}

Calculate exponents

9^{5} : 59049

= - 6561 \div 59049

Multiply and divide (left to right)

- 6561 \div 59049 : \frac{- 6561}{59049}

= \frac{- 6561}{59049}

Simplify

\frac{- 6561}{59049} : - \frac{1}{9}

Apply the fraction rule:

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

= - \frac{6561}{59049}

Cancel the common factor:

6561

= - \frac{1}{9}

5^{2} - 8^{2}

3 \times [4 - 2 \times (5 - 11)] - 18

6^{3} + 6^{3}

- 4 (2)^{2} - 3

8 \cdot (4 - 5)^{3} + 3