What is (343a^{12}b^{-3})^{2/3} ?

The solution to (343a^{12}b^{-3})^{2/3} is (49a^8)/(b^2)

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simplify (343a^{12}b^{-3})^{2/3}

simplify

(343 a^{12} b^{- 3})^{\frac{2}{3}}

\frac{49 a ^{8}}{b ^{2}}

Solution steps

(343 a^{12} b^{- 3})^{\frac{2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(343 a^{12} b^{- 3})^{\frac{2}{3}} = 34 3^{\frac{2}{3}} (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

= 34 3^{\frac{2}{3}} (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

34 3^{\frac{2}{3}} = 49

= 49 (a^{12})^{\frac{2}{3}} (b^{- 3})^{\frac{2}{3}}

Simplify

(a^{12})^{\frac{2}{3}} : a^{8}

= 49 a^{8} (b^{- 3})^{\frac{2}{3}}

Simplify

(b^{- 3})^{\frac{2}{3}} : \frac{1}{b ^{2}}

= 49 a^{8} \frac{1}{b ^{2}}

Simplify

49 a^{8} \frac{1}{b ^{2}} : \frac{49 a ^{8}}{b ^{2}}

= \frac{49 a ^{8}}{b ^{2}}

2100

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\frac{5}{2} \cdot 4

(4 - 5 x) (4 x - 5) = (10 x - 3) (7 - 2 x)

What is (343a^{12}b^{-3})^{2/3} ?
The solution to (343a^{12}b^{-3})^{2/3} is (49a^8)/(b^2)