Apply All Exponent Rules Quick Check
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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?(1 point)
Responses
154
Start Fraction 1 over 5 superscript 4 baseline end fraction
54
5 superscript 4 baseline
1625
Start Fraction 1 over 625 end fraction
595−13
its
1. a.2abcd
2. c. no,they are not bc 3 + (4x + 1) simplifies to 4 + 4x, which is not equivalent to 4 - 4x
3. d. 5g-1
4. a. 24+j
5. d. 21f
Start Fraction 1 over 5 superscript 14 baseline end fraction
theres no 14 though :']
Apologies for the error. Let me correct it.
The correct expression with only positive exponents that is equivalent to 59⋅5−13 is:
Start Fraction 1 over 59⋅5^13 End Fraction
you sure man-?
I apologize for the confusion. Let's go through the options again:
1. 154
2. Start Fraction 1 over 5^4 End Fraction (1/5^4)
3. 54
4. 5^4
5. Start Fraction 1 over 625 End Fraction (1/625)
To simplify the expression 59⋅5^(-13) with positive exponents, we can use the rule that states a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
In this case, we can rewrite 5^(-13) as 1/(5^13).
So, the equivalent expression to 59⋅5^(-13) with only positive exponents is:
59⋅1/(5^13) which simplifies to (59/5^13).
Therefore, the correct answer is "Start Fraction 59 over 5 superscript 13 baseline end fraction."