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

The solution to (2^2\times 3^3)^2 is 11664

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

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

11664

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(2^{2} \cdot 3^{3}) : 108

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

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 \cdot 3^{3}

Calculate exponents

3^{3} : 27

3^{3}

3^{3} = 27

= 27

= 4 \cdot 27

Multiply and divide (left to right)

4 \cdot 27 : 108

4 \cdot 27

4 \cdot 27 = 108

= 108

= 108

= 10 8^{2}

Calculate exponents

10 8^{2} : 11664

10 8^{2}

10 8^{2} = 11664

= 11664

= 11664

(- 2 \times + 4) - (\times (- 1))

2^{3} + 2 - 1

3^{3} - 3^{2} \div 3^{4}

(- 2 - 10)^{2} + (4 - 2 (- 6)^{2})

14 \times + 17 + 16