What is (3^4\times 3^2)\div 3^9 ?

The solution to (3^4\times 3^2)\div 3^9 is 1/27

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(3^4\times 3^2)\div 3^9

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

\frac{1}{27}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(3^{4} \times 3^{2}) : 729

= 729 \div 3^{9}

Calculate exponents

3^{9} : 19683

= 729 \div 19683

Multiply and divide (left to right)

729 \div 19683 : \frac{729}{19683}

= \frac{729}{19683}

Cancel the common factor:

729

= \frac{1}{27}

(- 3)^{2} - 4 (1) (- 18)

3 (- 3)^{2} - 8 (- 3) - 3

33 \cdot (- 1) + 30

- 4 + 9 + 4

3 (3)^{2} - 5 (3) - 6

What is (3^4\times 3^2)\div 3^9 ?
The solution to (3^4\times 3^2)\div 3^9 is 1/27