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Popular >

3/4 (2)^3

Solution

\frac{3}{4} (2)^{3}

6

Solution steps

\frac{3}{4} (2)^{3}

Follow the PEMDAS order of operations

Calculate exponents

(2)^{3} : 8

(2)^{3}

(2)^{3} = 8

= 8

= \frac{3}{4} \cdot 8

Multiply and divide (left to right)

\frac{3}{4} \cdot 8 : 6

\frac{3}{4} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{3}{4} \cdot \frac{8}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 8}{4 \cdot 1}

Cancel

\frac{3 \cdot 8}{4 \cdot 1} : 6

\frac{3 \cdot 8}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{3 \cdot 8}{4}

Divide the numbers:

\frac{8}{4} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= 6

= 6

[9 - (+ 5)] + [7 + (- 10)]

4 - 12 + 9

4 - 12 + 8

9 (9)^{2} - 90 (9) + 4

39 - (27 - 42 - (19 - 35) + 18) - 37