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(1.25×10−6)2×(4.8×105) (1.25 \times 10^{-6})^2 \times (4.8 \times 10^{5})

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Full solution

Q. (1.25×10−6)2×(4.8×105) (1.25 \times 10^{-6})^2 \times (4.8 \times 10^{5})
  1. Square and Calculate: First, square the term (1.25×10−6)(1.25 \times 10^{-6}).(1.25×10−6)2=(1.25)2×(10−6)2=1.5625×10−12(1.25 \times 10^{-6})^2 = (1.25)^2 \times (10^{-6})^2 = 1.5625 \times 10^{-12}
  2. Multiply by Coefficient: Next, multiply the squared term by 4.8×1054.8 \times 10^5.1.5625×10−12×4.8×1051.5625 \times 10^{-12} \times 4.8 \times 10^5 = 1.5625×4.8×10−12×1051.5625 \times 4.8 \times 10^{-12} \times 10^5
  3. Combine and Simplify: Now, multiply the coefficients and add the exponents. \newline1.5625×4.8=7.51.5625 \times 4.8 = 7.5\newline10−12×105=10−710^{-12} \times 10^{5} = 10^{-7}

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