Which of the following is an equivalent expression to 5^9⋅5^−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses
5^9/5^−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction
154
Start Fraction 1 over 5 superscript 4 baseline end fraction
54
5 superscript 4 baseline
1/625
9 answers
The correct answer is 1/625.
Which property of exponents was used to generate the equivalent expression 314 from 353−9?(1 point)
Responses
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 Product Rule of Exponents
only the Product Rule of Exponents
only the Power Rule of Exponents
Responses
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 Product Rule of Exponents
only the Product Rule of Exponents
only the Power Rule of Exponents
The correct answer is only the Power Rule of 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?(1 point)
Responses
4372
Start Fraction 4 cubed over 7 squared end fraction
72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction
172 ⋅ (−4)−3
Start Fraction 1 over 7 squared times left parenthesis negative 4 right parenthesis superscript negative 3 baseline End Fraction
(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction
Responses
4372
Start Fraction 4 cubed over 7 squared end fraction
72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction
172 ⋅ (−4)−3
Start Fraction 1 over 7 squared times left parenthesis negative 4 right parenthesis superscript negative 3 baseline End Fraction
(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction
The correct answer is (−4)372.
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
604−3
Start Fraction 60 over 4 negative cubed end fraction
64
64
164
Start Fraction 1 over 64 end fraction
1⋅4−3
Responses
604−3
Start Fraction 60 over 4 negative cubed end fraction
64
64
164
Start Fraction 1 over 64 end fraction
1⋅4−3
The correct answer is 1⋅4−3.
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
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
2392
Start Fraction 2 cubed over 9 squared end fraction
23 ⋅92
2 cubed times 9 squared
212⋅9−1229⋅9−10
Responses
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
2392
Start Fraction 2 cubed over 9 squared end fraction
23 ⋅92
2 cubed times 9 squared
212⋅9−1229⋅9−10
The correct answer is 212⋅9−1229⋅9−10.