Explain or demonstrate why the product rule of exponents, b^xb^y=b^x+y, is true for positive integer values of x and y.

Question

B^x b^y=b^x+y

Answer 1

b^x means use b x times as a factor and then b^y means use b y times as a factor.

In total you use b x+y time as a factor and this is equivalent to b^x+y.