The solution to -2/3 (2)^2 is -8/3

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-2/3 (2)^2

Solution

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

- \frac{8}{3}

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= - \frac{2}{3} \cdot 4

Multiply and divide (left to right)

- \frac{2}{3} \cdot 4 : - \frac{8}{3}

- \frac{2}{3} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= - \frac{2}{3} \cdot \frac{4}{1}

Apply the fraction rule:

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

\frac{2}{3} \cdot \frac{4}{1} = \frac{2 \cdot 4}{3 \cdot 1}

= - \frac{2 \cdot 4}{3 \cdot 1}

Multiply the numbers:

2 \cdot 4 = 8

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

Multiply the numbers:

3 \cdot 1 = 3

= - \frac{8}{3}

= - \frac{8}{3}

6 \cdot 9^{2}

(- 12) \times 7 - 3 \times (- 5)

4 (- 2)^{2} - 5 (- 2) + 1

(- 2 + 4) \times 3

4 \times 3 + (5 - 2 (8 + 4)) + 6