Apply the Properties of integer exponents to generate an equivalent expression to 3^7x3^(-9) with only positive exponents, then solve the expression. Simplified.

Answer 1

To generate an equivalent expression with only positive exponents, we can use the property of integer exponents that states:

a^m / a^n = a^(m-n)

In this case, we have 3^7 * 3^(-9). We can combine these two expressions using the above property:

3^7 * 3^(-9) = 3^(7-9) = 3^(-2)

Now, to solve the expression, we need to calculate 3^(-2). Using the property that a^(-n) = 1/a^n, we have:

3^(-2) = 1/3^2 = 1/9

Therefore, the simplified expression is 1/9.