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}

4^{2} = 16

= 16

= 9 \times 16 \div 6^{3}

Calculate exponents

6^{3} : 216

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

144 \div 216 = \frac{144}{216}

= \frac{144}{216}

= \frac{144}{216}

Cancel the common factor:

72

= \frac{2}{3}

8 \div 4 (1 + 1)

(- 4 + 12 - 6^{2}) \div 7

60 - (5 - 9 + 2 - (- 3))

5 \cdot 4^{3}

- 36 + (- 15) - (- 100)