Apply the Property of Negative Integer Exponents to rewrite 15−38 as an expression with positive exponents only.(1 point)
15−38=
thats incorrect
I apologize for the mistake. The correct expression is:
15^-38 = 1/(15^38)
The property of negative exponents states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent. In this case, we have 15 raised to the power of -38, which can be rewritten as 1 divided by 15 raised to the power of 38.
Apply the Property of Negative Integer Exponents to rewrite 9−23 as an expression with positive exponents only.(1 point)
9−23
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 exponents and rewrite 3^-4 without any exponent expression or decimals, we can rearrange the expression as:
1 / 3^4
Simplifying further, we have:
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−
To rewrite 7^-3⋅7^-5 with positive exponents only using the property of negative exponents, we can apply the rule that states a^m * a^n = a^(m+n).
Therefore, 7^-3⋅7^-5 can be rewritten as 7^(-3-5) which equals 7^-8.
Hence, an 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 5−94−12 with positive exponents only.(1 point)
5−94−12=
To rewrite 5^-9 * 4^-12 with positive exponents only using the property of negative exponents, we can apply the rule that states a^m * a^n = a^(m+n).
Therefore, 5^-9 * 4^-12 can be rewritten as (1/5^9) * (1/4^12).
Simplifying further, we have (1/1953125) * (1/16777216).
Therefore, an expression equivalent to 5^-9 * 4^-12 with positive exponents only is 1/(1953125 * 16777216).