Questions: (4 × 10^7) × (3 × 10^8) =

Transcript text: - $\left(4 \times 10^{7}\right) \times\left(3 \times 10^{8}\right)=$

Solution

Step 1: Multiply the coefficients

Multiply the numerical coefficients $4$ and $3$: \[ 4 \times 3 = 12 \]

Step 2: Multiply the powers of 10

Multiply the powers of $10$ using the rule $10^{a} \times 10^{b} = 10^{a+b}$: \[ 10^{7} \times 10^{8} = 10^{7+8} = 10^{15} \]

Step 3: Combine the results

Combine the results from Step 1 and Step 2: \[ 12 \times 10^{15} \]

$\boxed{12 \times 10^{15}}$

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