Apply the Properties of Integer Exponents to generate equivalent expressions to 3^7x3^-9 with only positive exponents, then solve the expression. Your answer will be simplified fraction with no remaining exponents.
To generate an equivalent expression with only positive exponents, we can use the property of adding exponents when multiplying bases with the same exponent.
Using this property, we have:
3^7 * 3^(-9) = 3^(7 + (-9))
Next, simplifying the exponent:
3^(7 + (-9)) = 3^(-2)
To solve the expression, we can write 3^(-2) as a fraction with the base raised to a positive exponent in the denominator:
3^(-2) = 1/3^2
Simplifying the fraction:
1/3^2 = 1/9
Therefore, the simplified fraction without remaining exponents is 1/9.