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Write the answer in proper scientific notation:

(2)/(8x10^(-5))

Write the answer in proper scientific notation:\newline28x105 \frac{2}{8x10^{-5}}

Full solution

Q. Write the answer in proper scientific notation:\newline28x105 \frac{2}{8x10^{-5}}
  1. Simplify Fraction: Simplify the fraction by dividing the numerator by the denominator.\newlineCalculation: (2)/(8×105)=28×1105(2)/(8\times10^{-5}) = \frac{2}{8} \times \frac{1}{10^{-5}}\newlineSince 28\frac{2}{8} simplifies to 14\frac{1}{4}, we have 14×105\frac{1}{4} \times 10^5.
  2. Convert to Decimal: Convert the fraction 1/41/4 into decimal form.\newlineCalculation: 1/4=0.251/4 = 0.25
  3. Multiply by Power of 1010: Multiply the decimal by the power of 1010.\newlineCalculation: 0.25×1050.25 \times 10^5
  4. Express in Scientific Notation: Express the result in scientific notation.\newlineCalculation: 0.25×105=2.5×1051=2.5×1040.25 \times 10^5 = 2.5 \times 10^{5-1} = 2.5 \times 10^4\newlineWe subtract 11 from the exponent because we moved the decimal one place to the right to get from 0.250.25 to 2.52.5.

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