What is 9^3\div 6^5 ?

The solution to 9^3\div 6^5 is 3/32

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9^3\div 6^5

9^{3} \div 6^{5}

\frac{3}{32}

Solution steps

9^{3} \div 6^{5}

Follow the PEMDAS order of operations

Calculate exponents

9^{3} : 729

9^{3}

9^{3} = 729

= 729

= 729 \div 6^{5}

Calculate exponents

6^{5} : 7776

6^{5}

6^{5} = 7776

= 7776

= 729 \div 7776

Multiply and divide (left to right)

729 \div 7776 : \frac{729}{7776}

729 \div 7776

729 \div 7776 = \frac{729}{7776}

= \frac{729}{7776}

= \frac{729}{7776}

Cancel the common factor:

243

= \frac{3}{32}

(+ 12 - 9) + (- 3 - 7) - (+ 9 - 35)

(4 - 2)^{3} - (3) 2 + 4

(- 6)^{4} \cdot (- 2) \div 5^{3}

4 + (6 (- 2)) + 15 (- 1)

35 \times 5 + 40 - 15 \times 2