104.510^{4.5}

asked by guest
on Nov 24, 2024 at 6:13 pm



You asked:

Evaluate the expression: 104.5{10}^{4.5}

MathBot Answer:

104.5=1000010≈31622.77660168379331998893544432718534{10}^{4.5} = 10000 \sqrt{10} \approx 31622.77660168379331998893544432718534

104.5=104+510=104+12=1092=10000⋅10\begin{aligned}{10}^{4.5}&=10^{4 + \frac{5}{10}}\\&=10^{4 + \frac{1}{2}}\\&=10^{\frac{9}{2}}\\&=10000 \cdot \sqrt{10}\end{aligned}

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