What is (-3)^6\div (-3)^4\times (-1)^5 ?

The solution to (-3)^6\div (-3)^4\times (-1)^5 is -9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-3)^6\div (-3)^4\times (-1)^5

(- 3)^{6} \div (- 3)^{4} \times (- 1)^{5}

- 9

Solution steps

(- 3)^{6} \div (- 3)^{4} \times (- 1)^{5}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{6} : 729

(- 3)^{6}

Apply exponent rule:

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

n

is even

(- 3)^{6} = 3^{6} = 729

= 729

= 729 \div (- 3)^{4} \times (- 1)^{5}

Calculate exponents

(- 3)^{4} : 81

(- 3)^{4}

Apply exponent rule:

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

n

is even

(- 3)^{4} = 3^{4} = 81

= 81

= 729 \div 81 \times (- 1)^{5}

Calculate exponents

(- 1)^{5} : - 1

(- 1)^{5}

Apply exponent rule:

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

n

is odd

(- 1)^{5} = - 1^{5} = - 1

= - 1

= 729 \div 81 \times (- 1)

Multiply and divide (left to right)

729 \div 81 \times (- 1) : - 9

729 \div 81 \times (- 1)

729 \div 81 = 9

= 9 \times (- 1)

Apply rule

a \times (- b) = - a \times b

9 \times (- 1) = - 9 \times 1 = - 9

= - 9

= - 9

800 \div 7 - 7 \div \frac{1}{7}

3 + 5 \cdot 3 - 6 + 3^{3}

2^{3} - 2^{2} - 2

(- 5)^{3} + 10 + 2

7 - 63 + 215

What is (-3)^6\div (-3)^4\times (-1)^5 ?
The solution to (-3)^6\div (-3)^4\times (-1)^5 is -9