What is 6^3+5(8+1/5) ?

The solution to 6^3+5(8+1/5) is 257

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6^3+5(8+1/5)

6^{3} + 5 (8 + \frac{1}{5})

257

Solution steps

6^{3} + 5 (8 + \frac{1}{5})

Follow the PEMDAS order of operations

Calculate within parentheses

(8 + \frac{1}{5}) : \frac{41}{5}

8 + \frac{1}{5}

8 + \frac{1}{5} = \frac{41}{5}

8 + \frac{1}{5}

Convert element to fraction:

8 = \frac{8 \cdot 5}{5}

= \frac{8 \cdot 5}{5} + \frac{1}{5}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{8 \cdot 5 + 1}{5}

8 \cdot 5 + 1 = 41

8 \cdot 5 + 1

Multiply the numbers:

8 \cdot 5 = 40

= 40 + 1

Add the numbers:

40 + 1 = 41

= 41

= \frac{41}{5}

= \frac{41}{5}

= 6^{3} + 5 \cdot \frac{41}{5}

Calculate exponents

6^{3} : 216

6^{3}

6^{3} = 216

= 216

= 216 + 5 \cdot \frac{41}{5}

Multiply and divide (left to right)

5 \cdot \frac{41}{5} : 41

5 \cdot \frac{41}{5}

Convert element to fraction:

5 = \frac{5}{1}

= \frac{5}{1} \cdot \frac{41}{5}

Cross-cancel common factor:

5

= \frac{41}{1}

Divide the numbers:

\frac{41}{1} = 41

= 41

= 216 + 41

Add and subtract (left to right)

216 + 41 : 257

216 + 41

216 + 41 = 257

= 257

= 257

3 (5 - 2) + 11 - 4

- 1^{3} + 2

10 + 1 0^{2}

- 5 (- 1) + 3

7^{2} + 6