3.28⋅$10^{0.45}$+0.81
You asked:
Evaluate the expression: \(3.28 \cdot {10}^{0.45} + 0.81\)
MathBot Answer:
\[3.28 \cdot {10}^{0.45} + 0.81 = \frac{81}{100} + \frac{82 \cdot 10^{\frac{9}{20}}}{25} \approx 10.05429601454740852665430973322876\]
\[\begin{aligned}3.28 \cdot {10}^{0.45} + 0.81& = \left(3 + \frac{28}{100}\right) \cdot 10^{\frac{45}{100}} + \frac{81}{100}\\& = \left(3 + \frac{7}{25}\right) \cdot 10^{\frac{45}{100}} + \frac{81}{100}\\& = \frac{82}{25} \cdot 10^{\frac{45}{100}} + \frac{81}{100}\\& = \frac{82}{25} \cdot 10^{\frac{9}{20}} + \frac{81}{100}\\& = \frac{81}{100} + \frac{82}{25} \cdot 10^{\frac{9}{20}}\end{aligned}\]