Solve \( 2.5^{g} ; g=3 \) (A) 7.5 (B) 15.625 (C) 156.25 (D) 75

When you substitute \( g = 3 \) into the equation \( 2.5^g \), you're calculating \( 2.5^3 \). That means you multiply 2.5 by itself three times: \[ 2.5 \times 2.5 \times 2.5 = 6.25 \times 2.5 = 15.625 \] So, the answer is (B) 15.625. Now, speaking of powers: Did you know that powers can be expressed as repeated multiplication? It's a way to simplify calculations involving large numbers. For example, instead of multiplying five times, you can just raise to the appropriate exponent! On a practical note, understanding exponents helps in various real-world scenarios, like calculating interest in finance or understanding exponential growth in populations. It's not just math; it's a tool that helps make sense of our world!