What is 2c^4(3/(c^{-2)})^3 ?

The solution to 2c^4(3/(c^{-2)})^3 is 54c^{10}

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simplify 2c^4(3/(c^{-2)})^3

simplify

2 c^{4} (\frac{3}{c ^{- 2}})^{3}

54 c^{10}

Solution steps

2 c^{4} (\frac{3}{c ^{- 2}})^{3}

Simplify

(\frac{3}{c ^{- 2}})^{3} : 27 c^{6}

= 2 c^{4} \cdot 27 c^{6}

Multiply the numbers:

2 \cdot 27 = 54

= 54 c^{4} c^{6}

Apply exponent rule:

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

c^{4} c^{6} = c^{4 + 6}

= 54 c^{4 + 6}

Add the numbers:

4 + 6 = 10

= 54 c^{10}

36 x^{4} y^{4} z^{4} - 20 x^{8} y

\frac{sin ( x )}{1 - sin ^{2} ( x )}

\frac{7}{20} - \frac{1}{12}

- 18 - (- 10)

\frac{x}{( yz )}