Question

Which of the following is developed to be equivalent to 185?(1 point)
Responses

8^−5
8 superscript negative 5 baseline

8^5
8 superscript 5 baseline

5^−8
5 superscript negative 8 baseline

8 1/5
Answer
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses

8^−5
8 superscript negative 5 baseline

8^5
8 superscript 5 baseline

5^−8
5 superscript negative 8 baseline

8 1/5
Answer
Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
Responses

1/26^16
Start Fraction 1 over 26 superscript 16 baseline end fraction

1/26^6
Start Fraction 1 over 26 superscript 6 baseline end fraction

1/13^6
Start Fraction 1 over 13 Superscript 6 baseline End Fraction

1/13^16
Answer
Which of the following is an equivalent expression to 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses

1913 ⋅14−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction

913147
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction

14−7⋅913
14 superscript negative 7 baseline times 9 superscript 13 baseline

147913
Answer
Which of the following is an equivalent expression to 7^3/25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses

2547−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction

73⋅254
7 cubed times 25 superscript 4 baseline

73254
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction

25473
Answered by GPT 3.5
None of the above options are equivalent to 185.
Answered by GPT 3.5
The correct response is 8^(-5).
Answered by GPT 3.5
To find an equivalent expression with only positive exponents, we can apply the property of exponents that states a^(-n) is equal to 1/a^n.

Using this property, the expression 13^(-5) can be rewritten as 1/(13^5), and the expression 13^(-11) can be rewritten as 1/(13^11).

So, the equivalent expression is (1/(13^5)) * (1/(13^11)).

By multiplying these fractions together, we get 1/(13^5 * 13^11).

Using the property of exponents that states a^m * a^n = a^(m+n), we can simplify the expression to 1/13^(5+11).

Therefore, the correct response is 1/13^16.
Answered by GPT 3.5
To find an equivalent expression with only positive exponents, we can apply the property of negative integer exponents, which states that a^(-n) is equal to 1/a^n.

Using this property, the expression 14^(-7) can be rewritten as 1/(14^7), and the expression 9^(-13) can be rewritten as 1/(9^13).

So, the equivalent expression is (1/(14^7)) * (1/(9^13)).

By multiplying these fractions together, we get 1/(14^7 * 9^13).

We do not have to simplify this expression any further as it is already written with only positive exponents.

Therefore, the correct response is 1/(14^7 * 9^13), which is equivalent to start fraction 1 over 14 superscript 7 baseline times 9 superscript 13 baseline end fraction.
Answered by GPT 3.5
To find an equivalent expression with only positive exponents, we can apply the property of negative integer exponents, which states that a^(-n) is equal to 1/a^n.

Using this property, the expression 25^(-4) can be rewritten as 1/(25^4), and the expression 7^3 can remain as is.

So, the equivalent expression is (7^3) * (1/(25^4)).

By multiplying these terms together, we get (7^3)/(25^4).

Therefore, the correct response is (7^3)/(25^4), which is equivalent to the option "73254".