Question

The value of (10)${}^{2025}$ $÷$ (100)${}^{1050}$ is

• A. 10 ^{– 50}
• B. 10⁵⁰
• C. 10⁷⁵
• D. 10 ^{– 75}
• E. 10 ^{– 25}

Answer 1

The correct option is D

10 ^{– 75}

$\frac{{10}^{2025}}{{\left(100\right)}^{1050}}=\frac{{10}^{2025}}{{\left({100}^2\right)}^{1050}}=\frac{{10}^{2025}}{{10}^{2100}}={10}^{2025-2100}={10}^{-75}$