So to find the total number of butterflies in all the gardens after x years, you need to multiply the amount of gardens by the approximate number of butterflies in each garden. The equation would be
[tex]5({1.05})^{x + 1} \times {1.05}^{8x} [/tex]
When you multiply numbers that have the same bases with different exponents you just add the exponents together so your answer would be
[tex]5( {1.05})^{9x + 1} [/tex]
