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Question

Express $$\dfrac{1.5\times 10^6}{2.5\times 10^{-4}}$$ in the standard form.


Solution

Given, $$\dfrac{1.5\times 10^6}{2.5\times 10^{-4}}$$
Use, 
$$a^m \div a^n =(a)^{m-n}$$
$$=\dfrac{1.5\times 10^6}{2.5\times 10^{-4}}=\dfrac{15}{25}\times 10^{6+4}$$
$$=\dfrac 35 \times 10^{10}=0.6\times 10^{10}$$
Now, $$a^m \times a^n =a^{m+n}$$
$$=6\times 10^{10}\times 10^{-1}=6\times 10^{9}$$

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