To solve the expression
\[ \frac{(3.1 \times 10^{14}) \times (4.4 \times 10^{-12})}{-6.6 \times 10^{-14}}, \]
let's break this down step by step.
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Multiply the numerators: \[ (3.1 \times 4.4) \times (10^{14} \times 10^{-12}) = 13.64 \times 10^{(14 - 12)} = 13.64 \times 10^{2}. \]
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Now, divide by the denominator: \[ \frac{13.64 \times 10^{2}}{-6.6 \times 10^{-14}}. \]
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Divide the coefficients: \[ \frac{13.64}{-6.6} \approx -2.065. \]
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Combine the powers of ten: \[ 10^{2} \div 10^{-14} = 10^{(2 + 14)} = 10^{16}. \]
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Combine everything: \[ -2.065 \times 10^{16}. \]
Thus, the final result is approximately:
\[ \boxed{-2.065 \times 10^{16}}. \]
1 answer