How do I solve
\[
\frac{2x^3a^3}{5x^{-3}a^2} \times \frac{5x^{-4}a}{3x^2a^{-5}} ?
\]
Answer (2)
5 x − 3 a 2 2 x 3 a 3 ⋅ 3 x 2 a − 5 5 x − 4 a = 3 x − 3 + 2 a 2 − 5 2 x 3 − 4 a 3 + 1 = 3 x − 1 a − 3 2 x − 1 a 4 = 3 2 a 4 − ( − 3 ) = 3 2 a 7
To solve the expression, first multiply the two fractions, then simplify the powers of the variables in both numerator and denominator. Ultimately, the simplified result of the given expression is 3 2 a 7 .
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