Multiply. Simplify and write the answer with positive exponents only.

Ask by Tucker Klein. in the United States

Dec 03,2024

Question

Multiply. Simplify and write the answer with positive exponents only. $$ \frac{6 a^{2} b}{9 b^{2}} \cdot \frac{63 b}{3 a^{3}}=\square $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (6*a^2*b)/(9*b^2) * (63*b)/(3*a^3) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\frac{6a^{2}b}{9b^{2}}	imes 63b}{3a^{3}}$$
- step1: Divide the terms:
  $$\frac{\frac{2a^{2}}{3b}	imes 63b}{3a^{3}}$$
- step2: Reduce the fraction:
  $$\frac{\frac{2a^{2}}{3b}	imes 21b}{a^{3}}$$
- step3: Simplify:
  $$\frac{14a^{2}}{a^{3}}$$
- step4: Simplify the expression:
  $$\frac{14}{a^{3-2}}$$
- step5: Calculate:
  $$\frac{14}{a}$$
The result of multiplying $$ \frac{6 a^{2} b}{9 b^{2}} \cdot \frac{63 b}{3 a^{3}} $$ and simplifying it with positive exponents only is $$ \frac{14}{a} $$.
$$ \frac{14}{a} $$

Multiply. Simplify and write the answer with positive exponents only.

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