This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Another one Nilu — let's solve it. Step 1: Understand the representation of a number with n zeros. A number with n zeros can be expressed as k × 10^n, where k is a non-zero digit or a number not ending in zero. For simplicity, we can consider the number 10^n. This number has n zeros. For example: • If n=1, the number is 10^1 = 10 (one zero). • If n=2, the number is 10^2 = 100 (two zeros). Step 2: Calculate the cube of the number. We need to find the number of zeros in the cube of 10^n. The cube of 10^n is (10^n)^3. Step 3: Apply the exponent rule. Using the exponent rule (a^b)^c = a^b × c: (10^n)^3 = 10^n × 3 = 10^3n Step 4: Determine the number of zeros in the cube. A number written in the form 10^x has x zeros. Therefore, 10^3n has 3n zeros. Step 5: Compare with the given options. The number of zeros in the cube is 3n. This matches option (b). The final answer is b) 3n. Send me the next one 📸