What is (-3)^5\div 3^8 ?

The solution to (-3)^5\div 3^8 is -1/27

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-3)^5\div 3^8

(- 3)^{5} \div 3^{8}

- \frac{1}{27}

Solution steps

(- 3)^{5} \div 3^{8}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{5} : - 243

(- 3)^{5}

Apply exponent rule:

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

n

is odd

(- 3)^{5} = - 3^{5} = - 243

= - 243

= - 243 \div 3^{8}

Calculate exponents

3^{8} : 6561

3^{8}

3^{8} = 6561

= 6561

= - 243 \div 6561

Multiply and divide (left to right)

- 243 \div 6561 : \frac{- 243}{6561}

- 243 \div 6561

- 243 \div 6561 = \frac{- 243}{6561}

= \frac{- 243}{6561}

= \frac{- 243}{6561}

Simplify

\frac{- 243}{6561} : - \frac{1}{27}

Apply the fraction rule:

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

= - \frac{243}{6561}

Cancel the common factor:

243

= - \frac{1}{27}

- 7 - (- 12) - (+ 3)

2^{4} + 3^{4}

3 + 4^{2}

(5 + 8 - 62) 7 + 4 (24 - 13)

2 \times (- 1) + 1