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

The solution to -1/2 (-2)^3(3)^2 is 36

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-1/2 (-2)^3(3)^2

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

36

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= - \frac{1}{2} (- 8) (3)^{2}

Calculate exponents

(3)^{2} : 9

(3)^{2}

(3)^{2} = 9

= 9

= - \frac{1}{2} (- 8) \cdot 9

Multiply and divide (left to right)

- \frac{1}{2} (- 8) \cdot 9 : 36

- \frac{1}{2} (- 8) \cdot 9

- \frac{1}{2} (- 8) = 4

- \frac{1}{2} (- 8)

Apply rule

- a \cdot (- b) = a \cdot b

- \frac{1}{2} (- 8) = \frac{1}{2} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{1}{2} \cdot \frac{8}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 8}{2 \cdot 1}

\frac{1 \cdot 8}{2 \cdot 1} = 4

\frac{1 \cdot 8}{2 \cdot 1}

\frac{1 \cdot 8}{2 \cdot 1} = \frac{8}{2}

\frac{1 \cdot 8}{2 \cdot 1}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{8}{2}

= \frac{8}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4

= 4

= 4 \cdot 9

4 \cdot 9 = 36

= 36

= 36

1 7^{2} + 1 1^{2}

(- 8 + 88) - (- 88 + 8)

2 \div 5 - 7 \div 16

\frac{1}{2} - \frac{1}{4}

4 (18 - 2 (4))^{2}