Subjects algebra

Scientific Division 65568D

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1. **State the problem:** Divide $$6 \times 10^{-2}$$ by $$6 \times 10^{-5}$$ and write the answer in scientific notation. 2. **Write the division as a fraction:** $$\frac{6 \times 10^{-2}}{6 \times 10^{-5}}$$ 3. **Use the property of division for scientific notation:** $$\frac{a \times 10^m}{b \times 10^n} = \frac{a}{b} \times 10^{m-n}$$ 4. **Apply the property:** $$\frac{6}{6} \times 10^{-2 - (-5)} = \frac{6}{6} \times 10^{-2 + 5}$$ 5. **Simplify the fraction:** $$\frac{6}{6} = \cancel{6} \div \cancel{6} = 1$$ 6. **Calculate the exponent:** $$-2 + 5 = 3$$ 7. **Combine the results:** $$1 \times 10^3 = 10^3$$ **Final answer:** $$10^3$$