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 as 3^2 and then write it with a positive exponent by moving it to the denominator since the exponent is negative.
So, 9^(-2) can be rewritten as (3^2)^(-2).
Now, using the property (a^m)^n = a^(m*n), we can simplify the expression:
(3^2)^(-2) = 3^(2*(-2)) = 3^(-4).
Therefore, 9^(-2) can be rewritten as 3^(-4).
The Property of Negative Integer Exponents states that any number raised to a negative exponent can be rewritten as the reciprocal of the same number raised to the positive exponent.
Applying this property, we can rewrite 9^(-23) as 1/(9^23).
To apply the Property of Negative Integer Exponents, we need to remember the rule that states: for any nonzero number a, and any positive integer n, a^(-n) is equal to 1/a^n.
In this case, we want to rewrite 9^(-23) as an expression with positive exponents only. Applying the property mentioned above, we can rewrite 9^(-23) as 1/9^(23).
Therefore, 9^(-23) is equal to 1/9^(23).