a.

Complete the tabular form:

b.

Write an equation for the pattern in the table :

Let be the increase of the powers with base ten.

Therefore, the equation is .

c.

Write a conjecture about the exponent of the product of two powers :

The exponent of the product of two powers is the sum of the exponents of the powers with the same base.

a.

The tabular form :

b. The equation is .

c. The exponent of the product of two powers is the sum of the exponents of the powers with the same base.