Simplify and express in standard form \( \frac{0.00275 \times 0.0064}{0.025 \times 0.08} \)

Answer Details

To simplify and express in standard form the expression: $$\frac{0.00275 \times 0.0064}{0.025 \times 0.08}$$ We can start by simplifying the numerator and denominator: $$\frac{0.00275 \times 0.0064}{0.025 \times 0.08} = \frac{0.0000176}{0.002}$$ Then, we can simplify the fraction by dividing both the numerator and denominator by the greatest common factor of the two: $$\frac{0.0000176}{0.002} = \frac{8.8}{1000} = \frac{22}{2500}$$ Finally, we can express this fraction in standard form by writing it as a number between 1 and 10 multiplied by a power of 10: $$\frac{22}{2500} = 0.0088 = 8.8 \times 10^{-3}$$ Therefore, the expression $\frac{0.00275 \times 0.0064}{0.025 \times 0.08}$ simplified and expressed in standard form is $8.8 \times 10^{-3}$.