Negative Integer Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Apply the Property of Negative Integer Exponents to rewrite 9^−23 as an expression with positive exponents only. (1 point)
Apply the Property of Negative Integer Exponents to rewrite 15−*38 as an expression with positive exponents only
To rewrite 9^(-23) with positive exponents only, we can use the property that says a^(-n) = 1/a^(n).
Applying this property, we get:
9^(-23) = 1/9^(23)
To rewrite 9^−23 as an expression with positive exponents only, we can use the property of negative exponents, which states that a negative exponent is equal to its reciprocal with a positive exponent.
Therefore, 9^−23 can be written as 1/9^23.
Thus, the expression with positive exponents only is 1/9^23.
To apply the Property of Negative Integer Exponents, we use the rule that any nonzero number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent.
In this case, we want to rewrite 9^(-23) as an expression with positive exponents only.
Step 1: Rewrite the given expression using the rule for negative exponents:
9^(-23) = 1 / (9^(23))
Step 2: Now we can rewrite 1 / (9^(23)) using positive exponents:
1 / (9^(23)) = 1 / (9^23)
Therefore, the expression with positive exponents only is 1 / (9^23).