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Question: Calculate \[ (8.8 \times 10^{15}) \div (4 \times 10^{2}) \] Give your answer in standard…
Calculate
\[ (8.8 \times 10^{15}) \div (4 \times 10^{2}) \]
Give your answer in standard form.
\[ \\\_ \times 10^{\\\_} \]
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Solution
To solve the problem \((8.8 \times 10^{15}) \div (4 \times 10^{2})\) and give the answer in standard form, follow these steps: First, divide the coefficients: \( \frac{8.8}{4} = 2.2 \) Now, subtract the exponents of 10 as you are dividing powers of the same base: \( 10^{15} \div 10^{2} = 10^{15-2} = 10^{13} \) Combine the results: \[ 2.2 \times 10^{13} \] Thus, the answer in standard form is: \( 2.2 \times 10^{13} \)