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

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

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-(3^2)-(-2)^3

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

- 1

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(3^{2}) : 9

3^{2}

3^{2} = 9

= 9

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

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

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

= - 8

= - 9 - (- 8)

Add and subtract (left to right)

- 9 - (- 8) : - 1

- 9 - (- 8)

Apply rule

- (- a) = + a

- (- 8) = + 8

= - 9 + 8

- 9 + 8 = - 1

= - 1

= - 1

6 (3) - 6

4 8^{2} + 5 5^{2}

- 3 - 4 + 3

3^{5} \cdot 2

(2 + 1 \frac{1}{5}) \times \frac{1}{8}