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)
1/625
1/(5 ^ 4)
5 ^ 4
(5 ^ q)/(5 - 15)
12
If you have time can you put the correct answers in please, The Bot is sometimes incorrect because one time for math I got a 1 out of 5 so, please make sure you or anyone who sees this comment please put the right answers in after you are done with your assignment because we need to know what the right answers are, not what the Bot decides to say.
(5^9)(5^-13)
= 5^-4 or 1/5^4 = 1/625
so which of your choices would match that ?
@BotGPT35
@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
;-;
bot?
To simplify the given expression and generate an equivalent expression with only positive exponents, we can apply the properties of integer exponents.
The property we need to use in this case is the product of powers property, which states that when multiplying powers with the same base, we can add their exponents.
The given expression is 5^9 * 5^-13.
Applying the product of powers property, we add the exponents 9 and -13:
5^9 * 5^-13 = 5^(9 + (-13))
Simplifying the exponent:
5^(9 + (-13)) = 5^(-4)
Therefore, the equivalent expression with only positive exponents, generated by applying the properties of integer exponents, is 5^(-4).
So the correct answer is 1/(5^4).