What is (3^3*3\div 3^2)/(3^2) ?

The solution to (3^3*3\div 3^2)/(3^2) is 1

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(3^3*3\div 3^2)/(3^2)

\frac{3 ^{3} \cdot 3 \div 3 ^{2}}{3 ^{2}}

1

Solution steps

\frac{3 ^{3} \cdot 3 \div 3 ^{2}}{3 ^{2}}

Solve

3^{3} \cdot 3 \div 3^{2} : 9

Follow the PEMDAS order of operations

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 27 \cdot 3 \div 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 27 \cdot 3 \div 9

Multiply and divide (left to right)

27 \cdot 3 \div 9 : 9

27 \cdot 3 \div 9

27 \cdot 3 = 81

= 81 \div 9

81 \div 9 = 9

= 9

= 9

Solve

3^{2} : 9

3^{2} = 9

= 9

= \frac{9}{9}

Apply rule

\frac{a}{a} = 1

= 1

6 (3)^{3}

(\frac{2}{5} + \frac{1}{7}) - \frac{3}{4}

3 [- 2 (3) + 6 (2)]

18 + (6 - 8)^{3}

(- 2)^{3} + 1