Use the fact that $10^{1 / 2} \approx 3.162$ and $10^{1 / 3} \approx 2.154$ to evaluate the expression without using a calculator. $$10^{2.5}$$
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Step 1
5} = 10^{2 + \frac{1}{2}}$$ Now, we can use the properties of exponents to separate the terms: $$10^{2 + \frac{1}{2}} = 10^2 \cdot 10^{\frac{1}{2}}$$ We know that $10^2 = 100$ and $10^{\frac{1}{2}} \approx 3.162$. So, we can substitute these values into the Show more…
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