To simplify the expression and get rid of the negative exponent, we can use the property of exponents: x^(-n) = 1/x^n.
5^9 x 5^(-13) can be written as:
(5^9)(1/5^13) = (5^9)/(5^13)
Using the property of exponents x^n/x^m = x^(n-m), we can simplify the expression further:
(5^9)/(5^13) = 5^(9-13) = 5^(-4)
Therefore, the equivalent expression with only positive exponents is "d. 5^4".
which of the following is an equivalent expression to 5^9 x 5 ^ -13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?
a. 1/625
b. 1/5^4
c. 5^9/5^-13
d. 5^4
1 answer