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

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

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

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

\frac{2}{3}

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

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

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= - 9 \times 16 \div (- 6)^{3}

Calculate exponents

(- 6)^{3} : - 216

(- 6)^{3}

Apply exponent rule:

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

n

is odd

(- 6)^{3} = - 6^{3} = - 216

= - 216

= - 9 \times 16 \div (- 216)

Multiply and divide (left to right)

- 9 \times 16 \div (- 216) : \frac{- 144}{( - 216 )}

- 9 \times 16 \div (- 216)

- 9 \times 16 = - 144

= - 144 \div (- 216)

Apply rule

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

- 144 \div (- 216) = 144 \div 216 = \frac{- 144}{( - 216 )}

= \frac{- 144}{( - 216 )}

= \frac{- 144}{( - 216 )}

Simplify

\frac{- 144}{( - 216 )} : \frac{2}{3}

Apply the fraction rule:

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

= \frac{144}{216}

Cancel the common factor:

72

= \frac{2}{3}

2 + 7 \times 5

2 - 2 \times 2 + 1

8 (3)^{3}

1 \div 3 + 1 \div 2

1 2^{2} + 6^{2}

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