- Started with
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
14.4
- Applied simplify to get
\[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
4.8
- Using strategy
rm 4.8
- Applied associate-*l/ to get
\[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
2.1
- Applied frac-times to get
\[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}}{y \cdot e^{b}}}\]
2.1
- Using strategy
rm 2.1
- Applied sub-neg to get
\[\frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\color{red}{\left(t - 1.0\right)}}}{y \cdot e^{b}} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot {a}^{\color{blue}{\left(t + \left(-1.0\right)\right)}}}{y \cdot e^{b}}\]
2.1
- Applied unpow-prod-up to get
\[\frac{\left(x \cdot {z}^{y}\right) \cdot \color{red}{{a}^{\left(t + \left(-1.0\right)\right)}}}{y \cdot e^{b}} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \color{blue}{\left({a}^{t} \cdot {a}^{\left(-1.0\right)}\right)}}{y \cdot e^{b}}\]
1.9
- Applied associate-*r* to get
\[\frac{\color{red}{\left(x \cdot {z}^{y}\right) \cdot \left({a}^{t} \cdot {a}^{\left(-1.0\right)}\right)}}{y \cdot e^{b}} \leadsto \frac{\color{blue}{\left(\left(x \cdot {z}^{y}\right) \cdot {a}^{t}\right) \cdot {a}^{\left(-1.0\right)}}}{y \cdot e^{b}}\]
1.9