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3^15

Step-by-step explanation:

3^5 means 3*3*3*3*3

3^10 means 3*3*3*3*3*3*3*3*3*3

so 3^5 * 3^10 means  3*3*3*3*3 * 3*3*3*3*3*3*3*3*3*3 = 3^15

The rule is that you can add the exponents if the base number (3) is the same.

1.8 km

Step-by-step explanation:

The scale on the map is 1 : 15000.

This means that every 1 cm on the map is equal to 15000 cm on the ground.

12 cm on the map will therefore be:

12 * 15000 = 180000 cm

Let us convert to kilometres:

100000 cm = 1 km

180000 cm = 180000 / 100000 = 1.8 km

12 cm on the map will be 1.8 km on the ground.