Which of the following is an equivalent expression to 59⋅5−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses
1/5^4
Start Fraction 1 over 5 superscript 4 baseline end fraction
5^9/5−^13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction
1/625
Start Fraction 1 over 625 end fraction
5^4
The equivalent expression with only positive exponents that has been generated by applying the Properties of Integer Exponents is:
5^4.
Which property of exponents was used to generate the equivalent expression 314 from 353−9?(1 point)
Responses
only the Product Rule of Exponents
only the Product Rule of Exponents
only the Property of Negative Exponents
only the Property of Negative Exponents
only the Power Rule of Exponents
only the Power Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents
The Property of Negative Exponents and the Product Rule of Exponents were used to generate the equivalent expression 314 from 353−9.
Which property of exponents was used to generate the equivalent expression 3^14 from 3^5/3−^9?(1 point)
Responses
only the Product Rule of Exponents
only the Product Rule of Exponents
only the Property of Negative Exponents
only the Property of Negative Exponents
only the Power Rule of Exponents
only the Power Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents
The Power Rule of Exponents was used to generate the equivalent expression 3^14 from 3^5/3−^9.
chose a answer
To find an equivalent expression to 59⋅5−13 with only positive exponents, you can use the properties of integer exponents.
First, let's simplify 5−13. According to the property a^(-n) = 1/(a^n), we can rewrite 5−13 as 1/(5^13).
Now, the expression becomes: 59⋅(1/(5^13)).
To simplify further using the property (a/b)^n = (a^n)/(b^n), we can rewrite 59⋅(1/(5^13)) as (59/1)⋅(1/(5^13)).
Finally, we can multiply these terms together to get: (59⋅1)/(1⋅5^13) = 59/(5^13).
Therefore, an equivalent expression to 59⋅5−13 with only positive exponents is 59/(5^13).