What is (-3)^2\times (-4)^3\div (-6)^2 ?

The solution to (-3)^2\times (-4)^3\div (-6)^2 is -16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-3)^2\times (-4)^3\div (-6)^2

(- 3)^{2} \times (- 4)^{3} \div (- 6)^{2}

- 16

Solution steps

(- 3)^{2} \times (- 4)^{3} \div (- 6)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

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

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= 9 \times (- 4)^{3} \div (- 6)^{2}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= 9 \times (- 64) \div (- 6)^{2}

Calculate exponents

(- 6)^{2} : 36

(- 6)^{2}

Apply exponent rule:

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

n

is even

(- 6)^{2} = 6^{2} = 36

= 36

= 9 \times (- 64) \div 36

Multiply and divide (left to right)

9 \times (- 64) \div 36 : - 16

9 \times (- 64) \div 36

Apply rule

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

9 \times (- 64) = - 9 \times 64 = - 576

= - 576 \div 36

- 576 \div 36 = - 16

= - 16

= - 16

(1/2 + 1/3) / (5/12 - 1/16)

5^{2} - 2

9 (- 5 + 4) - 2 (3 - 9) + 5 (3 - 5)

10 + 2 \times 3

1^{2} - 3 \times 1

What is (-3)^2\times (-4)^3\div (-6)^2 ?
The solution to (-3)^2\times (-4)^3\div (-6)^2 is -16