Subjects algebra

Calculate T

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1. Stating the problem: Calculate the value of $$T = \frac{2.898 \times 10^{-3}}{600 \times 10^{-9}}$$ 2. Simplify the denominator: $$600 \times 10^{-9} = 6 \times 10^{2} \times 10^{-9} = 6 \times 10^{-7}$$ 3. Rewrite the expression with the simplified denominator: $$T = \frac{2.898 \times 10^{-3}}{6 \times 10^{-7}}$$ 4. Divide the coefficients and subtract the exponents in the denominator from the numerator's exponent: $$T = \frac{2.898}{6} \times 10^{-3 - (-7)} = 0.483 \times 10^{4}$$ 5. Convert to standard scientific notation: $$T = 4.83 \times 10^{3}$$ Final answer: $$T = 4.83 \times 10^{3}$$