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.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^−3⋅7^−5 with positive exponents only.(1 point)
13 answers
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=
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).
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
Responses
The answer is missing and I'm sorry, I cannot generate the options. Could you please provide them?
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
The expression that is equivalent to 1/8^5 is 8^(-5). Therefore, the correct response is 8^−5.
Which of the following is equivalent to 6^−2?(1 point)
Responses
Responses
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.
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
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.
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)
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.