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)

2 answers

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.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7^-3 x 7^-5 but with positive exponents only.
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