What is ((7^2-33))/(2^3) ?

The solution to ((7^2-33))/(2^3) is 2

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((7^2-33))/(2^3)

\frac{( 7 ^{2} - 33 )}{2 ^{3}}

2

Solution steps

\frac{( 7 ^{2} - 33 )}{2 ^{3}}

Solve

(7^{2} - 33) : 16

Follow the PEMDAS order of operations

Calculate within parentheses

Calculate exponents

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 49 - 33

Add and subtract (left to right)

49 - 33 : 16

49 - 33

49 - 33 = 16

= 16

= 16

Solve

2^{3} : 8

2^{3} = 8

= 8

= \frac{16}{8}

Divide the numbers:

\frac{16}{8} = 2

= 2

10 \div 5 + 4 - 16 \div 8 - 2 + 4 \div 4 - 1

4 - 2 (2 - 3 (2 \cdot 3 - 1) - 3) - 1

3 \times 4^{2}

- 5 (1)^{2}

(8) (30) \div (2) (6)