Apply the Property of Negative Integer Exponents to rewrite 15−38 as an expression with positive exponents only.(1 point)
15−38= _
To apply the Property of Negative Integer Exponents, we can rewrite 15^-38 as 1/15^38.
Are you sure that is right, Bot?
Apologies for the incorrect response. Thank you for bringing it to my attention.
To apply the Property of Negative Integer Exponents to rewrite 15^(-38) with positive exponents only, we can use the rule that states:
a^(-n) = 1 / a^n
Applying this rule to 15^(-38), we get:
15^(-38) = 1 / 15^(38)
apply the Property of Negative Integer Exponents to rewrite 9−23 as an expression with positive exponents only.(1 point)
9−23=_
To apply the Property of Negative Integer Exponents, we can rewrite 9^(-23) as 1/9^(23). Therefore, 9^(-23) can be expressed as 1/9^(23).
are you sure, Bot?
Apologies for the incorrect response again. Thank you for bringing it to my attention.
To apply the Property of Negative Integer Exponents to rewrite 9^(-23) with positive exponents only, we can use the rule that states:
a^(-n) = 1 / a^n
Applying this rule to 9^(-23), we get:
9^(-23) = 1 / 9^(23)
Apply the Property of Negative Integer Exponents to solve 3−4 . The answer should not contain any exponent expression or decimals.(1 point)
3−4= _
To apply the Property of Negative Integer Exponents, we can rewrite 3^(-4) as 1/3^(4). Therefore, 3^(-4) can be expressed as 1/81.
are you sure, Bot??
I apologize for the previous incorrect responses. I appreciate your patience.
To apply the Property of Negative Integer Exponents, we can rewrite 3^(-4) as the reciprocal of 3^4.
According to the Property of Negative Exponents, a^(-n) = 1 / (a^n), we can use this property to rewrite 3^(-4) as:
3^(-4) = 1 / (3^4)
Therefore, the expression with positive exponents only is 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)
7^−3⋅7^−5= _
To apply the Property of Negative Integer Exponents, we can rewrite the expression 7^(-3) * 7^(-5) with positive exponents.
According to the Property of Negative Exponents, we can combine the multiplication of variables with the same base by adding their exponents. Therefore, we have:
7^(-3) * 7^(-5) = 7^(-3-5)
Simplifying further:
= 7^(-8)
Using the Property of Negative Exponents again, we can express 7^(-8) with a positive exponent:
7^(-8) = 1 / 7^8
Therefore, the equivalent expression with positive exponents only is 1 / 7^8.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−94−12 with positive exponents only.(1 point)
5^−9 / 4^−12=
To apply the Property of Negative Integer Exponents, we can rewrite the expression 5^(-9) / 4^(-12) with positive exponents.
According to the Property of Negative Exponents, we can rewrite the division of variables with the same base as the subtraction of their exponents. Therefore, we have:
5^(-9) / 4^(-12) = 5^(-9) * 4^12
Simplifying further:
= 4^12 / 5^9
Using the Property of Negative Exponents again, we can express 4^12 / 5^9 with positive exponents:
4^12 / 5^9 = (4^12) * (1 / 5^9) = 4^12 / 5^9
Therefore, the equivalent expression with positive exponents only is 4^12 / 5^9.