What is [(-7)^2-(-2)^6]^2 ?

The solution to [(-7)^2-(-2)^6]^2 is 225

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[(-7)^2-(-2)^6]^2

[(- 7)^{2} - (- 2)^{6}]^{2}

225

Solution steps

[(- 7)^{2} - (- 2)^{6}]^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

[(- 7)^{2} - (- 2)^{6}] : - 15

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

Calculate exponents

(- 7)^{2} : 49

(- 7)^{2}

Apply exponent rule:

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

n

is even

(- 7)^{2} = 7^{2} = 49

= 49

= 49 - (- 2)^{6}

Calculate exponents

(- 2)^{6} : 64

(- 2)^{6}

Apply exponent rule:

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

n

is even

(- 2)^{6} = 2^{6} = 64

= 64

= 49 - 64

Add and subtract (left to right)

49 - 64 : - 15

49 - 64

49 - 64 = - 15

= - 15

= - 15

= (- 15)^{2}

Calculate exponents

(- 15)^{2} : 225

(- 15)^{2}

Apply exponent rule:

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

n

is even

(- 15)^{2} = 1 5^{2} = 225

= 225

= 225

4 + 3 \times 7

(8 - 10 \div 5) + 4 \times 2

- 4 (1) + 4

- 5 (- 2) + 4 - 8 (2)

76 - (- 7 + 5 (9 - 14 + 7) - 5) - 4 (- 3)