Apply the Property of Negative Integer Exponents to rewrite 15^−38 as an expression with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite 15^−38 as 1/(15^38).
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
To apply the property of negative integer exponents, we can rewrite 3^−4 as 1/(3^4).
thats wrong
Apologies for the mistake. To apply the property of negative integer exponents, we can rewrite 3^−4 as 1/(3^4) = 1/81.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite the expression 7^−3⋅7^−5 as (1/7^3)⋅(1/7^5).
Using the property of multiplying fractions, we can simplify this expression by multiplying the numerators together and the denominators together:
(1/7^3)⋅(1/7^5) = 1/(7^3 ⋅ 7^5) = 1/7^(3+5) = 1/7^8
Therefore, the expression equivalent to 7^−3⋅7^−5 with positive exponents only is 1/7^8.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9 /4^−12 with positive exponents only.(1 point)
To apply the property of negative integer exponents, we can rewrite the expression 5^−9 /4^−12 as (1/5^9) / (1/4^12).
Using the property of dividing fractions, we can simplify this expression by multiplying the first fraction by the reciprocal of the second fraction:
(1/5^9) / (1/4^12) = (1/5^9) * (4^12/1)
Now, using the property of multiplying powers with the same base, we can combine the exponents:
(1/5^9) * (4^12/1) = 4^12 / 5^9
Therefore, the expression equivalent to 5^−9 /4^−12 with positive exponents only is 4^12 / 5^9.
Negative Integer Exponents Quick Check
1 of 51 of 5 Items
Question
Which of the following is developed to be equivalent to 185?(1 point)
Responses
8 1/5
8 Start Fraction 1 over 5 End Fraction
8^−5
8 superscript negative 5 baseline
5^−8
5 superscript negative 8 baseline
8^5
The expression that is equivalent to 185 is 8^5.
i meant 1 / 8^5
Apologies for the misunderstanding. The expression that is developed to be equivalent to 185 is 1 / 8^5.
Which of the following is developed to be equivalent to 1/ 8^5?(1 point)
Responses
8 1/5
8 Start Fraction 1 over 5 End Fraction
8^−5
8 superscript negative 5 baseline
5^−8
5 superscript negative 8 baseline
8^5
The expression that is developed to be equivalent to 1/8^5 is 8^−5.
Negative Integer Exponents Quick Check
2 of 52 of 5 Items
Question
Which of the following is equivalent to 6−2?(1 point)
Responses
1/ 6^−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction
1/2^6
Start Fraction 1 over 2 superscript 6 baseline End Fraction
1/36
Start Fraction 1 over 36 End Fraction
36
36
The expression that is equivalent to 6^−2 is 1/6^−2.
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
Start Fraction 1 over 13 superscript 16 baseline end fraction
To rewrite 13^−5 ⋅13^−11 with only positive exponents, we can add the exponents together since they have the same base:
13^−5 ⋅13^−11 = 13^(−5 + −11) = 13^−16
Therefore, the equivalent expression with only positive exponents is 1/13^16.
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
9^13/14^7
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction
1/9^13 ⋅14^-7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction
14^−7⋅9^13
14 superscript negative 7 baseline times 9 superscript 13 baseline
14^7/9^13
To rewrite 14^−7/9^−13 with only positive exponents, we can apply the Property of Negative Integer Exponents.
By flipping the fractions and changing the sign of the exponents, we have:
14^−7/9^−13 = 9^13/14^7
Therefore, the equivalent expression with only positive exponents is 9^13/14^7.
Which of the following is an equivalent expression to 7325−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
7^3/25^4
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction
7^3⋅25^4
7 cubed times 25 superscript 4 baseline
25^4/7^3
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
25^4/7^−3
To rewrite 7325^−4 with only positive exponents, we can apply the Property of Negative Integer Exponents.
By changing the sign of the exponent, we have:
7325^−4 = 1/7325^4
Therefore, the equivalent expression with only positive exponents is 1/7325^4.
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
7^3/25^4
Start Fraction 7 cubed over 25 superscript 4 baseline end fraction
7^3⋅25^4
7 cubed times 25 superscript 4 baseline
25^4/7^3
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction
25^4/7^−3
To rewrite 7^3/25^−4 with only positive exponents, we can apply the Property of Negative Integer Exponents.
By changing the sign of the exponent, we have:
7^3/25^−4 = 7^3 * 25^4
Therefore, the equivalent expression with only positive exponents is 7^3 * 25^4.