Graphs of Polynomials
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This question involves multiplying with both positive and negative exponents. Step 1: Multiply coefficients: \(2.5 \times 4 = 10\). Step 2: Add exponents (remember: adding a negative is like subtracting): \(10^6 \times 10^{-3} = 10^{6+(-3)} = 10^{6-3} = 10^3\). Step 3: Combine: \(10 \times 10^3\). Step 4: Adjust to proper standard form. We have 10, but standard form requires \(1 \leq a < 10\). Convert: \(10 = 1.0 \times 10^1\), so \(10 \times 10^3 = 1.0 \times 10^1 \times 10^3 = 1.0 \times 10^{1+3} = 1.0 \times 10^4\). Final answer: \(1.0 \times 10^4\) or simply \(10^4\). In ECZ exams, this adjustment step is crucial. If you leave the answer as \(10 \times 10^3\), you'll lose marks even though it's numerically correct, because it's not in proper standard form. Always check that your coefficient is between 1 and 10.
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