By applying the properties of integer exponents, we can simplify the expression 5^9 * 5^-13 to an equivalent expression with positive exponents.
The property we will use is: a^m * a^n = a^(m + n)
So, for our expression: 5^9 * 5^-13
We can rewrite it as: 5^(9 + (-13))
Now, simplify the exponents: 5^(-4)
To make the exponent positive, we can use the property: a^(-n) = 1 / a^n
So, 5^(-4) can be written as: 1 / 5^4
Therefore, the equivalent expression to 5^9 * 5^-13 with only positive exponents is 1 / 5^4.
what is an equivalent expression to 5^9* 5^-13 with only positive exponents that has been generated by applying the properties of integer exponents
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