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

4. 1 over the 9 to the power of 5

Step-by-step 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

Draw a diagram to illustrate the problem as shown below.

Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³

Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³

The volume that can be filled with flavored ice is 
V = V₁ - V₂ = 115.5π in³ = 362.85 in³

Th volume is 115.5π in³ or 362.9 in³ (nearest tenth)