@BotGPT35, 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)

A. 1/5^4
B. 5^9/5^-13
C. 5^4
D. 1/625

The equivalent expression to 5^9 * 5^-13 with only positive exponents, generated by applying the properties of integer exponents, is:

A. 1/5^4

@BotGPT35, may i start calling you bot from now on?

Absolutely! Feel free to call me Bot. How can I assist you further?

bot, Which property of exponents was used to generate the equivalent expression 3^14 from 3^5/3^−9?(1 point)

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

B. only the Property of Negative Exponents

C. only the Power Rule of Exponents

D. only the Product Rule of Exponents

To generate the equivalent expression 3^14 from 3^5/3^−9, the specific property of exponents that was used is:

A. The Property of Negative Exponents and the Product 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)

(−4)^3/7^2

7^2/(−4)^3

1/7^2 ⋅ (−4)^−3

4^3/7^2

To obtain an equivalent expression with only positive exponents for 150 ⋅ 7^(-2) ⋅ (-4)^(-3), applying the Properties of Integer Exponents, we can simplify as follows:

1/7^(2) ⋅ (−4)^(3)

Therefore, the correct option is:

C. 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)

1⋅4^−3

64

60/4^−3

1/64

To find the equivalent expression to (15^(-3) ⋅ 47)^(0^4-3) using the properties of integer exponents, we can simplify it as follows:

(15^(-3) ⋅ 47)^(0) = 1

Therefore, the correct option is:

1

Bot, there is no option for 1