The solution to (2(1)-1)^4 is 1

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(2(1)-1)^4

Solution

(2 (1) - 1)^{4}

1

Solution steps

(2 (1) - 1)^{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (1) - 1) : 1

2 (1) - 1

Multiply and divide (left to right)

2 (1) : 2

2 (1)

Apply rule:

(a) = a

(1) = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

= 2 - 1

Add and subtract (left to right)

2 - 1 : 1

2 - 1

2 - 1 = 1

= 1

= 1

= 1^{4}

Calculate exponents

1^{4} : 1

1^{4}

1^{4} = 1

= 1

= 1

9 - 3 - \frac{1}{3} + 1 + 3

2 (- 6)^{3} - 12 (- 6)^{2} - 270 (- 6) + 3

4 (- 2)^{2} - 3 (- 2) + 4

21 - 3 \times \frac{3}{2}

(5 - 2) \times 180