What is (2^3\times 3^2)^2 ?

The solution to (2^3\times 3^2)^2 is 5184

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(2^3\times 3^2)^2

(2^{3} \cdot 3^{2})^{2}

5184

Solution steps

(2^{3} \cdot 3^{2})^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{3} \cdot 3^{2}) : 72

2^{3} \cdot 3^{2}

Calculate exponents

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= 8 \cdot 3^{2}

Calculate exponents

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 8 \cdot 9

Multiply and divide (left to right)

8 \cdot 9 : 72

8 \cdot 9

8 \cdot 9 = 72

= 72

= 72

= 7 2^{2}

Calculate exponents

7 2^{2} : 5184

7 2^{2}

7 2^{2} = 5184

= 5184

= 5184

- 18 \div 3 - 4 \times 2 + 3 \times (- 6) + 2

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3^{0} - 5