Question

Simplify 9 to the power of 2 over 9 to the power of 7 someone help please

1. 9 over 5
2. 1 over 9 to the power of 9
3. 1 over 9 to the power of negative 5
4. 1 over the 9 to the power of 5

Answer 1

4. 1 over the 9 to the power of 5

Explanation:

When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5