Question: Calculate \[ (8 \times 10^{14}) \div (4 \times 10^{4}) \] Give your answer in standard form…

Calculate

\[ (8 \times 10^{14}) \div (4 \times 10^{4}) \]

Give your answer in standard form.

\[ \\\_ \times 10^{\\\_} \]

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Solution

To solve the problem \((8 \times 10^{14}) \div (4 \times 10^4)\), follow these steps: First, divide the coefficients: \[ \frac{8}{4} = 2 \] Next, subtract the exponents of 10: \[ 10^{14} \div 10^4 = 10^{14-4} = 10^{10} \] Combine the results: \[ 2 \times 10^{10} \] Therefore, the answer in standard form is \(2 \times 10^{10}\).