What is -1/6 (-3)^2 ?

The solution to -1/6 (-3)^2 is -3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-1/6 (-3)^2

- \frac{1}{6} (- 3)^{2}

- \frac{3}{2}

Solution steps

- \frac{1}{6} (- 3)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 3)^{2} : 9

(- 3)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 3)^{2} = 3^{2} = 9

= 9

= - \frac{1}{6} \cdot 9

Multiply and divide (left to right)

- \frac{1}{6} \cdot 9 : - \frac{3}{2}

- \frac{1}{6} \cdot 9

Convert element to fraction:

9 = \frac{9}{1}

= - \frac{1}{6} \cdot \frac{9}{1}

Apply the fraction rule:

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

\frac{1}{6} \cdot \frac{9}{1} = \frac{1 \cdot 9}{6 \cdot 1}

= - \frac{1 \cdot 9}{6 \cdot 1}

\frac{1 \cdot 9}{6 \cdot 1} = \frac{3}{2}

\frac{1 \cdot 9}{6 \cdot 1}

\frac{1 \cdot 9}{6 \cdot 1} = \frac{9}{6}

\frac{1 \cdot 9}{6 \cdot 1}

Multiply the numbers:

1 \cdot 9 = 9

= \frac{9}{6 \cdot 1}

Multiply the numbers:

6 \cdot 1 = 6

= \frac{9}{6}

= \frac{9}{6}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 3}{6}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

= \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

- 4^{2} \cdot (- 10)^{2} + 3 \cdot (- 2)^{2}

2 \times (\frac{5}{6} - \frac{5}{9})

- [- 6 + 4 [2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))] + 2] - 1

2 \cdot 1 - 4

2 \cdot 1 - 2