Question

Simplify (z⁶z⁻⁵)⁻²

a)−z
b)−z²
c)1 over z
d)1 over z raised to the second power

Answer 1

The expression (z⁶z⁻⁵)⁻² simplifies to 1 over z raised to the second power, or 1/z².

Step-by-step explanation:

To simplify the expression (z⁶z⁻⁵)⁻², we begin by applying the laws of exponents for multiplication and inversion.

1. First, we multiply the exponents of z within the parentheses: z⁶ × z⁻⁵ = z¹ or simply z.
2. Then, applying the negative exponent rule, (z¹)⁻² is the same as z⁻².
3. Therefore, the expression simplifies to 1 over z raised to the second power, or 1/z².