Negative Integer Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Apply the Property of Negative Integer Exponents to solve 3^−4. The answer should not contain any exponent expression or decimals.(1 point)
Using the Property of Negative Integer Exponents, we know that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Therefore, 3^−4 can be rewritten as 1/3^4.
To find 1/3^4, we can first find 3^4.
3^4 = 3 * 3 * 3 * 3 = 81.
Therefore, 3^−4 = 1/3^4 = 1/81.
So, the answer is 1/81.
The Property of Negative Integer Exponents states that for any non-zero number a, a^(-n) = 1/(a^n).
To solve 3^(-4) using this property, we can rewrite it as 1/(3^4).
Then, we simplify 3^4 which equals 81.
Therefore, 3^(-4) = 1/81.