What is (18)/((3+3)^3) ?

The solution to (18)/((3+3)^3) is 1/12

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(18)/((3+3)^3)

\frac{18}{( 3 + 3 ) ^{3}}

\frac{1}{12}

Solution steps

\frac{18}{( 3 + 3 ) ^{3}}

Solve

(3 + 3)^{3} : 216

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 3) : 6

3 + 3

3 + 3 = 6

= 6

= 6^{3}

Calculate exponents

6^{3} : 216

6^{3}

6^{3} = 216

= 216

= 216

= \frac{18}{216}

Cancel the common factor:

18

= \frac{1}{12}

(- 1)^{2} - 2 (- 1) + 1

6 \cdot 6^{2}

- 4 + 3 - 5 + 12

+ \frac{38}{2} + 3 (8)^{2}

2 (3)^{2} + 2