Question

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

154
Start Fraction 1 over 5 superscript 4 baseline end fraction

1625
Start Fraction 1 over 625 end fraction

54
5 superscript 4 baseline

595−13

Answer 1

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

the Property of Negative Exponents and the Product Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents

only the Property of Negative Exponents
only the Property of Negative Exponents

only the Power Rule of Exponents

Answer 2

To rewrite the expression with only positive exponents, we can use the property that states a negative exponent is the same as the reciprocal of the number raised to the positive exponent.

So, 59⋅5−13 can be rewritten as 59⋅(1/5)^13.

Therefore, the equivalent expression with only positive exponents is (1/5)^13.

The answer is (2) Start Fraction 1 over 5 superscript 13 baseline end fraction.