What is [(15-19)^2+(6-10)^3]*(7-9)^3 ?

The solution to [(15-19)^2+(6-10)^3]*(7-9)^3 is 384

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[(15-19)^2+(6-10)^3]*(7-9)^3

[(15 - 19)^{2} + (6 - 10)^{3}] \cdot (7 - 9)^{3}

384

Solution steps

[(15 - 19)^{2} + (6 - 10)^{3}] (7 - 9)^{3}

Follow the PEMDAS order of operations

Calculate within parentheses

[(15 - 19)^{2} + (6 - 10)^{3}] : - 48

(15 - 19)^{2} + (6 - 10)^{3}

Calculate within parentheses

(15 - 19) : - 4

15 - 19

15 - 19 = - 4

= - 4

= (- 4)^{2} + (6 - 10)^{3}

Calculate within parentheses

(6 - 10) : - 4

6 - 10

6 - 10 = - 4

= - 4

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

Calculate exponents

(- 4)^{2} : 16

(- 4)^{2}

Apply exponent rule:

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

n

is even

(- 4)^{2} = 4^{2} = 16

= 16

= 16 + (- 4)^{3}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

(- 4)^{3} = - 4^{3} = - 64

= - 64

= 16 - 64

Add and subtract (left to right)

16 - 64 : - 48

16 - 64

16 - 64 = - 48

= - 48

= - 48

= - 48 (7 - 9)^{3}

Calculate within parentheses

(7 - 9) : - 2

7 - 9

7 - 9 = - 2

= - 2

= - 48 (- 2)^{3}

Calculate exponents

(- 2)^{3} : - 8

(- 2)^{3}

Apply exponent rule:

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

n

is odd

(- 2)^{3} = - 2^{3} = - 8

= - 8

= - 48 (- 8)

Multiply and divide (left to right)

- 48 (- 8) : 384

- 48 (- 8)

Apply rule

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

- 48 (- 8) = 48 \cdot 8 = 384

= 384

= 384

(\frac{5}{3} + \frac{2}{8}) + \frac{1}{4}

1733 + (\frac{5}{32}) \cdot 3

6 \times 8^{2}

180 - 47 - 90

424 \times 9 + 22

What is [(15-19)^2+(6-10)^3]*(7-9)^3 ?
The solution to [(15-19)^2+(6-10)^3]*(7-9)^3 is 384