What is 2^1(2(1)+1)-1 ?

The solution to 2^1(2(1)+1)-1 is 5

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2^1(2(1)+1)-1

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

5

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(2 (1) + 1) : 3

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 : 3

2 + 1

2 + 1 = 3

= 3

= 3

= 2^{1} \cdot 3 - 1

Calculate exponents

2^{1} : 2

2^{1}

2^{1} = 2

= 2

= 2 \cdot 3 - 1

Multiply and divide (left to right)

2 \cdot 3 : 6

2 \cdot 3

2 \cdot 3 = 6

= 6

= 6 - 1

Add and subtract (left to right)

6 - 1 : 5

6 - 1

6 - 1 = 5

= 5

= 5

(22 - 18) (18 \div 3) - 2 \times 8

- 7 \cdot 7 + 9 \cdot \frac{- 1}{- 1}

0 - 6 \times 0

(8 + 2) \times 5

83 - (90 \div 9) \times 3