Multiple choice

Find the answer of (36 × 105) ÷ (6 ×103) in standard index form.

  1. 6 × 103

  2. 6 × 102

  3. 6 x 10

  4. 6
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B Correct answer
Explanation

(36 * 10^5) / (6 * 10^3) = (36/6) * 10^(5-3) = 6 * 10^2.

AI explanation

First, divide the coefficients, which means 36 divided by 6 equals 6. Next, apply the quotient of powers rule by subtracting the exponents, so 105 divided by 103 becomes 10 to the power of 2. Combining these gives the standard index form of 6 multiplied by 10 squared.

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