x to the power of 6 times x to the power of 7 divided by x to the power of negative 2 is equal to
1. x to the power of 7
2. 1/x to the power of 21
3. 1/x to the power of 7
4. x to the power of 21
The correct answer is 4. x to the power of 21.
When you multiply x^6 by x^7, you add the exponents, so the result is x^(6+7) = x^13.
When you divide x^13 by x^-2, you subtract the exponents, so the result is x^(13-(-2)) = x^15.
So, the expression simplifies to x^15, which is equivalent to x^(15+6) = x^21.