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

The solution to (-3)^3\times (-4)^3\div (-6)^5 is -2/9

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

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

- \frac{2}{9}

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{3} : - 27

(- 3)^{3}

Apply exponent rule:

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

n

is odd

(- 3)^{3} = - 3^{3} = - 27

= - 27

= - 27 \times (- 4)^{3} \div (- 6)^{5}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

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

= - 64

= - 27 \times (- 64) \div (- 6)^{5}

Calculate exponents

(- 6)^{5} : - 7776

(- 6)^{5}

Apply exponent rule:

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

n

is odd

(- 6)^{5} = - 6^{5} = - 7776

= - 7776

= - 27 \times (- 64) \div (- 7776)

Multiply and divide (left to right)

- 27 \times (- 64) \div (- 7776) : \frac{1728}{( - 7776 )}

- 27 \times (- 64) \div (- 7776)

Apply rule

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

- 27 \times (- 64) = 27 \times 64 = 1728

= 1728 \div (- 7776)

Apply rule

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

1728 \div (- 7776) = - 1728 \div 7776 = \frac{1728}{( - 7776 )}

= \frac{1728}{( - 7776 )}

= \frac{1728}{( - 7776 )}

Simplify

\frac{1728}{( - 7776 )} : - \frac{2}{9}

Apply the fraction rule:

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

= - \frac{1728}{7776}

Cancel the common factor:

864

= - \frac{2}{9}

(- 4 + (- 6))^{2}

4 (2)^{0}

8 + 8 \div 5 \times 6 \times 10 \div 20

- 11 + 33 \div 11

\frac{2 ^{2} \cdot 2}{2 ^{2}}

What is (-3)^3\times (-4)^3\div (-6)^5 ?
The solution to (-3)^3\times (-4)^3\div (-6)^5 is -2/9