What is (-2^2)^3-(-2^3)^2 ?

The solution to (-2^2)^3-(-2^3)^2 is -128

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(-2^2)^3-(-2^3)^2

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

- 128

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- 2^{2}) : - 4

- 2^{2}

- 2^{2} = - 4

= - 4

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

Calculate within parentheses

(- 2^{3}) : - 8

- 2^{3}

- 2^{3} = - 8

= - 8

= (- 4)^{3} - (- 8)^{2}

Calculate exponents

(- 4)^{3} : - 64

(- 4)^{3}

Apply exponent rule:

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

n

is odd

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

= - 64

= - 64 - (- 8)^{2}

Calculate exponents

(- 8)^{2} : 64

(- 8)^{2}

Apply exponent rule:

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

n

is even

(- 8)^{2} = 8^{2} = 64

= 64

= - 64 - 64

Add and subtract (left to right)

- 64 - 64 : - 128

- 64 - 64

- 64 - 64 = - 128

= - 128

= - 128

24 \div (9 - 5) \cdot 2

(6 + 12) \div 3

\frac{( 2 ^{2} + 2 ^{3} )}{3}

\frac{1}{2} (1 + 2)

2 + 3 \times 23 - 24 \div (12 - 9)