How do you use the laws of exponents to simplify the expression $\frac{3 a^{3} - 6 a^{6}}{a^{- 1}}$ $(3a^3 - 6a^6)/a^-1$ ?

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How do you use the laws of exponents to simplify the expression $\frac{3 a^{3} - 6 a^{6}}{a^{- 1}}$ $(3a^3 - 6a^6)/a^-1$ ?

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Answer 1 · 2015-05-20T21:42:54

$\frac{3 a^{3} - 6 a^{6}}{a^{- 1}} = \frac{3 a^{3} (1 - 2 a^{3})}{a^{- 1}} = 3 a^{3 - (- 1)} (1 - 2 a^{3})$ $(3a^3-6a^6)/a^(-1) = (3a^3(1-2a^3))/a^(-1) = 3a^(3-(-1))(1-2a^3)$

$= 3 a^{4} (1 - 2 a^{3})$ $= 3a^4(1-2a^3)$ .

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How do you use the laws of exponents to simplify the expression $\frac{3 a^{3} - 6 a^{6}}{a^{- 1}}$ $(3a^3 - 6a^6)/a^-1$ ?

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How do you use the laws of exponents to simplify the expression $\frac{3 a^{3} - 6 a^{6}}{a^{- 1}}$ $(3a^3 - 6a^6)/a^-1$ ?