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)

1 answer

To solve 3^(-4), we can use the property of negative integer exponents which states that a base raised to a negative exponent is equal to the reciprocal of the base raised to the positive exponent.

Therefore, 3^(-4) is equal to 1 / (3^4).

Simplifying further, 3^4 is equal to 3 * 3 * 3 * 3, which is 81.

Therefore, 3^(-4) is equal to 1 / 81.

The answer is 1/81.
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