What is 2x24^2x(2pi)/3 ?

The solution to 2x24^2x(2pi)/3 is 768pix^2

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simplify 2x24^2x(2pi)/3

simplify

2 x 2 4^{2} x \frac{2 π}{3}

768 π x^{2}

Solution steps

2 x \cdot 2 4^{2} x \frac{2 π}{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

xx = x^{1 + 1}

= 2 \cdot 2 4^{2} x^{1 + 1} \frac{2 π}{3}

Add the numbers:

1 + 1 = 2

= 2 \cdot 2 4^{2} x^{2} \frac{2 π}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 π 2 \cdot 2 4 ^{2} x ^{2}}{3}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{2 4 ^{2} \cdot 4 π x ^{2}}{3}

Factor

2 4^{2} : 2^{6} \cdot 3^{2}

= \frac{2 ^{6} \cdot 3 ^{2} \cdot 4 π x ^{2}}{3}

Cancel the common factor:

3

= 2^{6} \cdot 4 \cdot 3 π x^{2}

Refine

= 768 π x^{2}

(4 x^{3} y^{4}) (5 x y^{3})

4 (x - 2)^{2} (x + 2)^{2}

4 x^{2} (4 x^{2})

e^{- x} (x - 1)