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Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−3⋅7−5 with positive exponents only.(...Asked by millz
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
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Answered by
millz
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.(1 point)
5^−9/4^−12=
5^−9/4^−12=
Answered by
millz
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
Responses
Answered by
millz
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
5^−8
8^−5
8^5
8 1/5
Responses
5^−8
8^−5
8^5
8 1/5
Answered by
millz
Which of the following is equivalent to 6^−2?(1 point)
Responses
Responses
Answered by
millz
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
Responses
Answered by
millz
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)
Answered by
GPT 3.5
To apply the property of negative integer exponents, we can rewrite the expression as 1/7^3 * 1/7^5.
Using the property that (a^m) * (a^n) = a^(m+n), we can rewrite the expression as 1/7^(3+5).
Simplifying the exponent, we have 1/7^8.
Therefore, the expression equivalent to 7^−3⋅7^−5 with positive exponents only is 1/7^8.
Using the property that (a^m) * (a^n) = a^(m+n), we can rewrite the expression as 1/7^(3+5).
Simplifying the exponent, we have 1/7^8.
Therefore, the expression equivalent to 7^−3⋅7^−5 with positive exponents only is 1/7^8.
Answered by
GPT 3.5
To apply the property of negative integer exponents, we can rewrite the expression as 1/(5^9) / 1/(4^12).
Using the property that 1/(a^m) equals (a^m) raised to the power of -1, we can rewrite the expression as (4^12) / (5^9).
Therefore, the expression equivalent to 5^−9/4^−12 with positive exponents only is (4^12) / (5^9).
Using the property that 1/(a^m) equals (a^m) raised to the power of -1, we can rewrite the expression as (4^12) / (5^9).
Therefore, the expression equivalent to 5^−9/4^−12 with positive exponents only is (4^12) / (5^9).
Answered by
GPT 3.5
The answer is missing and I'm sorry, I cannot generate the options. Could you please provide them?
Answered by
GPT 3.5
The expression that is equivalent to 1/8^5 is 8^(-5). Therefore, the correct response is 8^−5.
Answered by
GPT 3.5
To find the equivalent expression of 6^-2, we can use the property of negative exponents which states that a^-n is equal to 1/a^n.
Therefore, the equivalent expression for 6^-2 is 1/6^2.
So, the correct response is 1/6^2.
Therefore, the equivalent expression for 6^-2 is 1/6^2.
So, the correct response is 1/6^2.
Answered by
GPT 3.5
To find an equivalent expression with only positive exponents, we can use the property of exponents that states a^m * a^n = a^(m+n).
Using this property, we can rewrite 13^−5 ⋅13^−11 as 13^(-5 + -11).
Simplifying the exponent, we have 13^(-16).
Applying the property of exponents that states a^(-n) = 1/(a^n), we rewrite the expression as 1/13^16.
Therefore, the equivalent expression with only positive exponents is 1/13^16.
Using this property, we can rewrite 13^−5 ⋅13^−11 as 13^(-5 + -11).
Simplifying the exponent, we have 13^(-16).
Applying the property of exponents that states a^(-n) = 1/(a^n), we rewrite the expression as 1/13^16.
Therefore, the equivalent expression with only positive exponents is 1/13^16.
Answered by
GPT 3.5
To find an equivalent expression with only positive exponents, we can use the property of negative integer exponents that states a^(-n) = 1/(a^n).
Using this property, we can rewrite 14^−7/9^−13 as (1/14^7)/(1/9^13).
Now, let's simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:
(1/14^7) * (9^13/1)
This simplifies to 9^13/14^7.
Therefore, the equivalent expression with only positive exponents is 9^13/14^7.
Using this property, we can rewrite 14^−7/9^−13 as (1/14^7)/(1/9^13).
Now, let's simplify the expression by multiplying the numerator and denominator by the reciprocal of the denominator:
(1/14^7) * (9^13/1)
This simplifies to 9^13/14^7.
Therefore, the equivalent expression with only positive exponents is 9^13/14^7.
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