What is (-3+7)^3\div (-5+3)^2 ?

The solution to (-3+7)^3\div (-5+3)^2 is 16

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(-3+7)^3\div (-5+3)^2

(- 3 + 7)^{3} \div (- 5 + 3)^{2}

16

Solution steps

(- 3 + 7)^{3} \div (- 5 + 3)^{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(- 3 + 7) : 4

- 3 + 7

- 3 + 7 = 4

= 4

= 4^{3} \div (- 5 + 3)^{2}

Calculate within parentheses

(- 5 + 3) : - 2

- 5 + 3

- 5 + 3 = - 2

= - 2

= 4^{3} \div (- 2)^{2}

Calculate exponents

4^{3} : 64

4^{3}

4^{3} = 64

= 64

= 64 \div (- 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

= 64 \div 4

Multiply and divide (left to right)

64 \div 4 : 16

64 \div 4

64 \div 4 = 16

= 16

= 16

5 + 6 + (- 20)

2 \div \frac{1}{4} + \frac{1}{5}

(- 6) - (+ 4) + 8 - (- 6) + 1

1 - 5 \times 3 + 4 + 2

(14 \div 7) + 8