What is -4^2*(-10)^2+3*(-2)^2 ?

The solution to -4^2*(-10)^2+3*(-2)^2 is -1588

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-4^2(-10)^2+3(-2)^2

- 4^{2} \cdot (- 10)^{2} + 3 \cdot (- 2)^{2}

- 1588

Solution steps

- 4^{2} (- 10)^{2} + 3 (- 2)^{2}

Follow the PEMDAS order of operations

Calculate exponents

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= - 16 (- 10)^{2} + 3 (- 2)^{2}

Calculate exponents

(- 10)^{2} : 100

(- 10)^{2}

Apply exponent rule:

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

n

is even

(- 10)^{2} = 1 0^{2} = 100

= 100

= - 16 \cdot 100 + 3 (- 2)^{2}

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

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

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= - 16 \cdot 100 + 3 \cdot 4

Multiply and divide (left to right)

- 16 \cdot 100 : - 1600

- 16 \cdot 100

- 16 \cdot 100 = - 1600

= - 1600

= - 1600 + 3 \cdot 4

Multiply and divide (left to right)

3 \cdot 4 : 12

3 \cdot 4

3 \cdot 4 = 12

= 12

= - 1600 + 12

Add and subtract (left to right)

- 1600 + 12 : - 1588

- 1600 + 12

- 1600 + 12 = - 1588

= - 1588

= - 1588

2 \times (\frac{5}{6} - \frac{5}{9})

- [- 6 + 4 [2 - 5 (4 - 3 (4 - 3) + 2 (7 - 3))] + 2] - 1

2 \cdot 1 - 4

2 \cdot 1 - 2

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