Questions: Simplify the given exponential expression. (x^-8)^3

Solution Steps

To simplify the given exponential expression, apply the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\). This means you multiply the exponents together.

To simplify the expression \(\left(x^{-8}\right)^{3}\), we use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\). Here, \(m = -8\) and \(n = 3\).

Multiply the exponents: \[ -8 \times 3 = -24 \]

Final Answer