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.
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QUESTION 3 3.1 Complete the following table using rule of exponent. Here is the completed table: | Product of powers | Power of power notation | Exponential form | | :------------------------------------------------ | :---------------------- | :--------------- | | 2^4 × 2^4 × 2^4 | (2^4)^3 | 2^12 | | 2^6 × 2^6 × 2^6 | (2^6)^3 | 2^18 | | x^7 × x^7 × x^7 × x^7 × x^7 | (x^7)^5 | x^35 | | r^c × r^c × r^c × r^c × r^c | (r^c)^5 | r^5c | Calculations for Question 3: Row 1: Product of powers: 2^4 × 2^4 × 2^4 Power of power notation: (2^4)^3 (since 2^4 is multiplied by itself 3 times) Exponential form: (2^4)^3 = 2^4 × 3 = 2^12 Row 2: Product of powers: 2^6 × 2^6 × 2^6 Power of power notation: (2^6)^3 (since 2^6 is multiplied by itself 3 times) Exponential form: (2^6)^3 = 2^6 × 3 = 2^18 Row 3: Power of power notation: (x^7)^5 Product of powers: x^7 × x^7 × x^7 × x^7 × x^7 (since x^7 is raised to the power of 5) Exponential form: (x^7)^5 = x^7 × 5 = x^35 Row 4: Product of powers: r^c × r^c × r^c × r^c × r^c (assuming 5 terms based on the pattern) Power of power notation: (r^c)^5 (since r^c is multiplied by itself 5 times) Exponential form: (r^c)^5 = r^c × 5 = r^5c Last free one today — make it count tomorrow, or type /upgrade for unlimited.