Subjects algebra

Power Division Eca233

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Evaluate the expression $$\frac{10^9}{10^7}$$ and write the answer as a whole number. 2. **Recall the rule for division of powers with the same base:** When dividing powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ 3. **Apply the rule:** $$\frac{10^9}{10^7} = 10^{9-7}$$ 4. **Simplify the exponent:** $$10^{9-7} = 10^2$$ 5. **Evaluate the power:** $$10^2 = 100$$ **Final answer:** 100