What is -(-(-7^2)^3)^2 ?

The solution to -(-(-7^2)^3)^2 is -13841287201

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-(-(-7^2)^3)^2

- (- (- 7^{2})^{3})^{2}

- 13841287201

Solution steps

- (- (- 7^{2})^{3})^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- (- 7^{2})^{3}) : 117649

- (- 7^{2})^{3}

Calculate within parentheses

(- 7^{2}) : - 49

- 7^{2}

- 7^{2} = - 49

= - 49

= - (- 49)^{3}

Calculate exponents

(- 49)^{3} : - 117649

(- 49)^{3}

Apply exponent rule:

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

n

is odd

(- 49)^{3} = - 4 9^{3} = - 117649

= - 117649

= - (- 117649)

Add and subtract (left to right)

- (- 117649) : 117649

- (- 117649)

Apply rule

- (- a) = a

- (- 117649) = 117649

= 117649

= 117649

= - 11764 9^{2}

Calculate exponents

11764 9^{2} : 13841287201

11764 9^{2}

11764 9^{2} = 13841287201

= 13841287201

= - 13841287201

3 (1)^{2} - 6 (1) - 7

- 18 + 21 + (- 15) + (- 37) + 18

8^{2} (3 + 2) - 11

2 - 1 - 4 - 5

4 (0)^{2} - 5