The solution to (4*2^4)^2 is 4096

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(4*2^4)^2

Solution

(4 \cdot 2^{4})^{2}

4096

Solution steps

(4 \cdot 2^{4})^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 \cdot 2^{4}) : 64

4 \cdot 2^{4}

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= 4 \cdot 16

Multiply and divide (left to right)

4 \cdot 16 : 64

4 \cdot 16

4 \cdot 16 = 64

= 64

= 64

= 6 4^{2}

Calculate exponents

6 4^{2} : 4096

6 4^{2}

6 4^{2} = 4096

= 4096

= 4096

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

3 {4 (2 - 7) - 11 - 2 [3 (- 5 - 1)]}

3 - 5 + 4

9 - {6 + [5 - 3 + (6 - 2)] + 8 (4 - 7)}

3 - 4 - 1