which of the following is an equivalent expression to 5^9x5^-13 with only positive exponents the has been generated by applying the properties of integer exponents

A 1/5^22
B 5^8/5^-13
C 1/5^4
D 5^4

1 answer

To simplify the expression and make all the exponents positive, we can use the property of integer exponents that states:

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

Using this property, we can simplify the expression:

5^9 * 5^-13 = 5^(9 - 13) = 5^-4

Therefore, the equivalent expression is 5^-4.

Answer: C) 1/5^4