Answer :

Answer:

  • 9.2 × 10⁷

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Find the difference in below steps:

  • 1.3 × 10⁸ - 3.8 × 10⁷ =
  • 1.3 × 10 × 10⁷ - 3.8 × 10⁷ =
  • 13 × 10⁷ - 3.8 × 10⁷ =
  • (13 - 3.8) × 10⁷ =
  • 9.2 × 10⁷

Answer:

9.2 × 10⁷

Step-by-step explanation:

Exponent Rule:

[tex]\boxed{a^{b+c}=a^b \cdot a^c}[/tex]

[tex]\begin{aligned}(1.3 \times 10^8)- (3.8 \times 10^7)&=(1.3 \times 10^{7+1}) - (3.8 \times 10^{7})\\&=(1.3 \times 10^7 \times 10^1) - (3.8 \times 10^{7})\\&=(1.3 \times 10^1 \times 10^{7}) - (3.8 \times 10^{7})\\&=(13\times 10^{7}) - (3.8 \times 10^{7})\\&=(13-3.8) \times 10^{7}\\&=9.2 \times 10^{7}\end{aligned}}[/tex]