What is 3^2*4^3\div 6^2\div 8^3 ?

The solution to 3^2*4^3\div 6^2\div 8^3 is 1/32

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3^2*4^3\div 6^2\div 8^3

3^{2} \cdot 4^{3} \div 6^{2} \div 8^{3}

\frac{1}{32}

Solution steps

3^{2} \cdot 4^{3} \div 6^{2} \div 8^{3}

Follow the PEMDAS order of operations

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 9 \cdot 4^{3} \div 6^{2} \div 8^{3}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 9 \cdot 64 \div 6^{2} \div 8^{3}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 9 \cdot 64 \div 36 \div 8^{3}

Calculate exponents

8^{3} : 512

8^{3}

8^{3} = 512

= 512

= 9 \cdot 64 \div 36 \div 512

Multiply and divide (left to right)

9 \cdot 64 \div 36 \div 512 : \frac{16}{512}

9 \cdot 64 \div 36 \div 512

9 \cdot 64 = 576

= 576 \div 36 \div 512

576 \div 36 = 16

= 16 \div 512

16 \div 512 = \frac{16}{512}

= \frac{16}{512}

= \frac{16}{512}

Cancel the common factor:

16

= \frac{1}{32}

2 - 10 + 30 - 14 + 11 - 4

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

3 (8) + 2

2 (3)^{2} - 5 (2)^{2} + 3 + 2 + 8 + 3

5 (3 + 4)

What is 3^2*4^3\div 6^2\div 8^3 ?
The solution to 3^2*4^3\div 6^2\div 8^3 is 1/32