Question

5^(9)*5^(-13 )with only positive exponents that has been generated by applying the Properties of Integer Exponents

Answer 1

To rewrite 5^(9)*5^(-13) with only positive exponents, we can use the property of integer exponents which states that a^(-n) = 1/a^n.

So, 5^(9)*5^(-13) can be rewritten as:

5^(9) * 1/5^(13)

Now, we can simplify by subtracting the exponents:

5^(9-13) * 1

5^(-4) * 1

Finally, we can use the property of integer exponents once again to rewrite 5^(-4) as 1/5^4:

1/5^4 * 1

= 1/625

So, 5^(9)*5^(-13) with only positive exponents is 1/625.