$$22g^2 \cdot \dfrac{h^2}{44}g^2h^2=\dfrac{22g^4h^4}{44}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}22g^2\frac{h^2}{44}g^2h^2& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{22g^2h^2}{44}g^2h^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{22g^4h^2}{44}h^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{22g^4h^4}{44}\end{aligned} $$ | |
| ① | Multiply $22g^2$ by $ \dfrac{h^2}{44} $ to get $ \dfrac{ 22g^2h^2 }{ 44 } $. Step 1: Write $ 22g^2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 22g^2 \cdot \frac{h^2}{44} & \xlongequal{\text{Step 1}} \frac{22g^2}{\color{red}{1}} \cdot \frac{h^2}{44} \xlongequal{\text{Step 2}} \frac{ 22g^2 \cdot h^2 }{ 1 \cdot 44 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 22g^2h^2 }{ 44 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{22g^2h^2}{44} $ by $ g^2 $ to get $ \dfrac{ 22g^4h^2 }{ 44 } $. Step 1: Write $ g^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{22g^2h^2}{44} \cdot g^2 & \xlongequal{\text{Step 1}} \frac{22g^2h^2}{44} \cdot \frac{g^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 22g^2h^2 \cdot g^2 }{ 44 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 22g^4h^2 }{ 44 } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{22g^4h^2}{44} $ by $ h^2 $ to get $ \dfrac{ 22g^4h^4 }{ 44 } $. Step 1: Write $ h^2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{22g^4h^2}{44} \cdot h^2 & \xlongequal{\text{Step 1}} \frac{22g^4h^2}{44} \cdot \frac{h^2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 22g^4h^2 \cdot h^2 }{ 44 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 22g^4h^4 }{ 44 } \end{aligned} $$ |