What is -3\times (-3)-((-1)^2-2)^3 ?

The solution to -3\times (-3)-((-1)^2-2)^3 is 10

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-3\times (-3)-((-1)^2-2)^3

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

10

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

((- 1)^{2} - 2) : - 1

(- 1)^{2} - 2

Calculate exponents

(- 1)^{2} : 1

(- 1)^{2}

Apply exponent rule:

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

n

is even

(- 1)^{2} = 1^{2} = 1

= 1

= 1 - 2

Add and subtract (left to right)

1 - 2 : - 1

1 - 2

1 - 2 = - 1

= - 1

= - 1

= - 3 (- 3) - (- 1)^{3}

Calculate exponents

(- 1)^{3} : - 1

(- 1)^{3}

Apply exponent rule:

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

n

is odd

(- 1)^{3} = - 1^{3} = - 1

= - 1

= - 3 (- 3) - (- 1)

Multiply and divide (left to right)

- 3 (- 3) : 9

- 3 (- 3)

Apply rule

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

- 3 (- 3) = 3 \cdot 3 = 9

= 9

= 9 - (- 1)

Add and subtract (left to right)

9 - (- 1) : 10

9 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= 9 + 1

9 + 1 = 10

= 10

= 10

\frac{1 + 4 ( 8 ) + 9}{6}

\frac{3 ^{2} - 36}{3 - 6}

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

(- 4)^{2} + 4 (- 4) + 3

300 + 41 - 63 - 56 - 31 + 89 - 114 + 1056

What is -3\times (-3)-((-1)^2-2)^3 ?
The solution to -3\times (-3)-((-1)^2-2)^3 is 10