if the expression seven with the power of 15 was simplified using the power roll of exponents which of the following would be an expanded equivalent expression. Would it be (7.7.7).(7.7.7)(7.7.7).(7.7.7)(7.7.7) or in parentheses 7×7×7×7×7 with a power of 10 or would it be in parentheses seven power of 10 and also a power of five or would it be in parentheses seven power of 18 and power of three, which one is the answer

Answer 1

To simplify the expression \(7^{15}\) using the rules of exponents, we can break it down appropriately.

Let's analyze the options you've provided:

1. (7.7.7)(7.7.7)(7.7.7)(7.7.7)(7.7.7): This breaks down into 5 groups of \(7^3\), so it is not correct.

2. (7 × 7 × 7 × 7 × 7) with a power of 10: This expression reads as \(7^5\), not \(7^{15}\).

3. (7^{10}) and also a power of 5: This would be \(7^{10} \times 7^5 = 7^{15}\), which is correct.

4. (7^{18}) and power of 3: This would actually yield \(7^{18} \times 7^3 = 7^{21}\), which does not equal \(7^{15}\).

Based on this analysis, the correct expanded equivalent expression would be (7^{10}) and also a power of 5.