What is [-(-5)^2]^7 ?

The solution to [-(-5)^2]^7 is -6103515625

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[-(-5)^2]^7

[- (- 5)^{2}]^{7}

- 6103515625

Solution steps

[- (- 5)^{2}]^{7}

Follow the PEMDAS order of operations

Calculate within parentheses

[- (- 5)^{2}] : - 25

- (- 5)^{2}

Calculate exponents

(- 5)^{2} : 25

(- 5)^{2}

Apply exponent rule:

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

n

is even

(- 5)^{2} = 5^{2} = 25

= 25

= - 25

= (- 25)^{7}

Calculate exponents

(- 25)^{7} : - 6103515625

(- 25)^{7}

Apply exponent rule:

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

n

is odd

(- 25)^{7} = - 2 5^{7} = - 6103515625

= - 6103515625

= - 6103515625

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