12. $$ 10 a^{\frac{7}{3}} b^{-1} \cdot 3 a^{\frac{5}{3}} b^{8} $$

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Calculate or simplify the expression $$ 10*a^(7/3)*b^(-1) * 3*a^(5/3)*b^(8) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$10a^{\frac{7}{3}}b^{-1}	imes 3a^{\frac{5}{3}}b^{8}$$
- step1: Multiply the terms:
  $$30a^{\frac{7}{3}}b^{-1}a^{\frac{5}{3}}b^{8}$$
- step2: Multiply the terms:
  $$30a^{\frac{7}{3}+\frac{5}{3}}b^{-1}	imes b^{8}$$
- step3: Add the numbers:
  $$30a^{4}b^{-1}	imes b^{8}$$
- step4: Multiply the terms:
  $$30a^{4}b^{-1+8}$$
- step5: Add the numbers:
  $$30a^{4}b^{7}$$
The simplified form of the expression $$10a^{\frac{7}{3}}b^{-1} \cdot 3a^{\frac{5}{3}}b^{8}$$ is $$30a^{4}b^{7}$$.
The simplified form is $$30a^{4}b^{7}$$.

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