81 / 64
To evaluate the expression -8⁻² / 3⁻⁴, we need to understand the rules of exponents.
1. Start by rewriting the expression with positive exponents:
-8⁻² = 1 / (-8)²
3⁻⁴ = 1 / 3⁴
2. Simplify each term:
(-8)² = (-8) * (-8) = 64
3⁴ = 3 * 3 * 3 * 3 = 81
3. Substitute the simplified terms back into the expression:
1 / 64 / 1 / 81
4. To divide fractions, we multiply by the reciprocal of the second fraction:
1 / 64 * 81 / 1 = 81 / 64
Therefore, the value of -8⁻² / 3⁻⁴ is 81 / 64 when written as a fraction in simplest form.
