What is -(-3)^4\times (-1)^7\div (-3)^6 ?

The solution to -(-3)^4\times (-1)^7\div (-3)^6 is 1/9

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-(-3)^4\times (-1)^7\div (-3)^6

- (- 3)^{4} \times (- 1)^{7} \div (- 3)^{6}

\frac{1}{9}

Solution steps

- (- 3)^{4} \times (- 1)^{7} \div (- 3)^{6}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{4} : 81

(- 3)^{4}

Apply exponent rule:

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

n

is even

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

= 81

= - 81 \times (- 1)^{7} \div (- 3)^{6}

Calculate exponents

(- 1)^{7} : - 1

(- 1)^{7}

Apply exponent rule:

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

n

is odd

(- 1)^{7} = - 1^{7} = - 1

= - 1

= - 81 \times (- 1) \div (- 3)^{6}

Calculate exponents

(- 3)^{6} : 729

(- 3)^{6}

Apply exponent rule:

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

n

is even

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

= 729

= - 81 \times (- 1) \div 729

Multiply and divide (left to right)

- 81 \times (- 1) \div 729 : \frac{81}{729}

- 81 \times (- 1) \div 729

Apply rule

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

- 81 \times (- 1) = 81 \times 1 = 81

= 81 \div 729

81 \div 729 = \frac{81}{729}

= \frac{81}{729}

= \frac{81}{729}

Cancel the common factor:

81

= \frac{1}{9}

3 (1)^{2} + 24 (1) - 27

- 3 - 4 - (- 2) - 0

(2 + 3) \times 5 - (1 + 5 - 7)

- 7 + 9 - 5

9 \cdot 4 + 5^{2}

What is -(-3)^4\times (-1)^7\div (-3)^6 ?
The solution to -(-3)^4\times (-1)^7\div (-3)^6 is 1/9