What is (14+4^2)/(14-3(4)) ?

The solution to (14+4^2)/(14-3(4)) is 15

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(14+4^2)/(14-3(4))

\frac{14 + 4 ^{2}}{14 - 3 ( 4 )}

15

Solution steps

\frac{14 + 4 ^{2}}{14 - 3 ( 4 )}

Solve

14 + 4^{2} : 30

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 14 + 16

Add and subtract (left to right)

14 + 16 : 30

14 + 16

14 + 16 = 30

= 30

= 30

Solve

14 - 3 (4) : 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (4) : 12

3 (4)

Apply rule:

(a) = a

(4) = 4

= 3 \cdot 4

Multiply the numbers:

3 \cdot 4 = 12

= 12

= 14 - 12

Add and subtract (left to right)

14 - 12 : 2

14 - 12

14 - 12 = 2

= 2

= 2

= \frac{30}{2}

Divide the numbers:

\frac{30}{2} = 15

= 15

3 (1)^{3} + 3

(- 9) + (- 1) - (+ 10)

- 30 - 1 - \frac{10}{3}

2^{8} + 2^{4} + 2^{3} + 1

(2 + 5 (2 - 5) + 8) - 3 (2 + 4)