What is 9^2\div 27^3 ?

The solution to 9^2\div 27^3 is 1/243

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9^2\div 27^3

9^{2} \div 2 7^{3}

\frac{1}{243}

Solution steps

9^{2} \div 2 7^{3}

Follow the PEMDAS order of operations

Calculate exponents

9^{2} : 81

= 81 \div 2 7^{3}

Calculate exponents

2 7^{3} : 19683

= 81 \div 19683

Multiply and divide (left to right)

81 \div 19683 : \frac{81}{19683}

= \frac{81}{19683}

Cancel the common factor:

81

= \frac{1}{243}

(32 + 18) \div (96 \div (- 8) + 7)

1 - \frac{1}{2} \div \frac{2}{3}

4^{3} + 4^{2}

5 4^{2} + 7 2^{2}

7 (2)^{2}