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QUESTION IMAGE

(9.6 × 10⁵) ÷ (3 × 10⁷)

Question

(9.6 × 10⁵) ÷ (3 × 10⁷)

Explanation:

Step1: Separate coefficients and powers

Separate the coefficients and the powers of 10: $\frac{9.6}{3} \times \frac{10^{5}}{10^{7}}$

Step2: Divide coefficients

Calculate $\frac{9.6}{3} = 3.2$

Step3: Divide powers of 10

Use the rule $a^m\div a^n = a^{m - n}$: $10^{5}\div10^{7}=10^{5 - 7}=10^{-2}$

Step4: Multiply results

Multiply the two results: $3.2\times10^{-2}$

Answer:

$3.2\times10^{-2}$