What is expand [(-2)^3]^2\times [(2)(3)]^2 ?

The solution to expand [(-2)^3]^2\times [(2)(3)]^2 is 2304

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expand [(-2)^3]^2\times [(2)(3)]^2

expand

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

2304

Solution steps

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

Remove parentheses:

(a) = a

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

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

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

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

Expand

(- 2)^{3} \cdot 2 \cdot 3 : - 48

= (- 48)^{2}

Apply exponent rule:

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

n

is even

(- 48)^{2} = 4 8^{2}

= 4 8^{2}

4 8^{2} = 2304

= 2304

\frac{d}{d x} (1 - x) + c \cdot x (x - 1)

(\frac{3 m}{4} - \frac{1}{6}) (\frac{m}{4} - \frac{5}{6})

\frac{x ( x - 1 )}{x - 1}

(x + i) (x - 8 + i) (x - 8 - i)

4 sin (\frac{π}{4})

What is expand [(-2)^3]^2\times [(2)(3)]^2 ?
The solution to expand [(-2)^3]^2\times [(2)(3)]^2 is 2304