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?

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?

A) 1522
Start Fraction 1 over 5 superscript 22 baseline end fraction

B) 54
5 superscript 4 baseline

C) 595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction

D) 1/5^4

\Which property of exponents was used to generate the equivalent expression 314 from 353−9?(1 point)

A) only the Product Rule of Exponents

B) only the Power Rule of Exponents

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

D) only the Property of Negative Exponents

Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?

A) (−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction

B) 172 ⋅ (−4)−3
Start Fraction 1 over 7 squared times left parenthesis negative 4 right parenthesis superscript negative 3 baseline End Fraction

C) 4372
Start Fraction 4 cubed over 7 squared end fraction

D) 72(−4)3

Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

A) 1⋅4−3
1 times 4 negative cubed

B) 164
Start Fraction 1 over 64 end fraction

C) 604−3
Start Fraction 60 over 4 negative cubed end fraction

D) 64

Which of the following is an equivalent expression to (2−3 ⋅93)−429 ⋅9−10 with only positive exponents, generated by applying the Properties of Integer Exponents?(1 point)
Responses

A) 212⋅9−1229⋅9−10
Start fraction 2 superscript 12 baseline times 9 superscript negative 12 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction

B) 2−7⋅9−129⋅9−10
Start fraction 2 superscript negative 7 baseline times 9 superscript negative 1 baseline over 2 superscript 9 baseline times 9 superscript negative 10 baseline end fraction

C) 23 ⋅92
2 cubed times 9 squared

D) 2392

Answer 1

The correct answers are:

1) C) 595^−13
2) C) the Property of Negative Exponents and the Product Rule of Exponents
3) A) (−4)^3 / 7^2
4) C) 60/4^−3
5) A) 2^12 * 9^−12 / (2^9 * 9^−10)

Answer 2

correct answers

1) D
2) C
3) A
4) D
5) D

Answer 3

Apologies for the incorrect previous response. The correct answers are:

1) D) 1/5^4
2) C) the Property of Negative Exponents and the Product Rule of Exponents
3) A) (−4)^3 / 7^2
4) D) 64
5) D) 23 ⋅92