An abstract illustration visualizing the concept of integer exponents. In the center show the equation '59⋅5−13' with arrows pointing towards six different expressions that it could potentially equal, depicted using creative visual symbols to represent concepts of multiplication, division, and exponents. Incorporate the symbols of equations and fractions in an artistic way. Maintain a vivid color palette and crisp visuals, with no textual elements in the image.

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

1625
Start Fraction 1 over 625 end fraction
595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction
54
5 superscript 4 baseline
154

The equivalent expression generated by applying the properties of integer exponents to (15^(−3) ⋅ 4^7)^{−4^{-3}} is 1 ⋅ 4^(-3).

The equivalent expression with only positive exponents is 5^9/5^13.

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

Responses

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

The Property of Negative Exponents was used to generate the equivalent expression 3^14 from 3^(-9).

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

72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction
4372
Start Fraction 4 cubed over 7 squared 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

The equivalent expression with only positive exponents is 1 / 7^2 * (-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

604−3
Start Fraction 60 over 4 negative cubed end fraction
64
64
1⋅4−3
1 times 4 negative cubed
164

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

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
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
23 ⋅92
2 cubed times 9 squared
2392

The equivalent expression to (2^(-3) ⋅ 9^3)^{-4^2} ⋅ 9^{-10} with only positive exponents, generated by applying the properties of integer exponents, is 2^(-7) ⋅ 9^(-1) ⋅ 2^9 ⋅ 9^(-10).

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

23 ⋅92
2 cubed times 9 squared

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

2392
Start Fraction 2 cubed over 9 squared end fraction

2−7⋅9−129⋅9−10