Question

simplify. express your answer using exponents. ( (j^{2}k^{-5}m^{-5})^{-1} )

Explanation:

Step1: Apply power of a power rule

Multiply each exponent by $-1$:
$$(j^{2}k^{-5}m^{-5})^{-1} = j^{2\times(-1)}k^{-5\times(-1)}m^{-5\times(-1)}$$

Step2: Calculate new exponents

Simplify each exponent value:
$$j^{-2}k^{5}m^{5}$$

Step3: Rewrite negative exponent

Move $j^{-2}$ to denominator to make exponent positive:
$$\frac{k^{5}m^{5}}{j^{2}}$$

Answer:

$\frac{k^{5}m^{5}}{j^{2}}$ or $j^{-2}k^{5}m^{5}$