Question

simplify. express your answer using exponents.
$(g^{4}h^{9}j^{-3})^{3}$

Explanation:

Step1: Apply the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). So, for \((g^{4}h^{9}j^{-3})^{3}\), we can apply this rule to each factor: \(g^{4\times3}h^{9\times3}j^{-3\times3}\).

Step2: Calculate the exponents

Calculate each exponent: \(4\times3 = 12\), \(9\times3 = 27\), and \(-3\times3 = -9\). So we get \(g^{12}h^{27}j^{-9}\).

Answer:

\(g^{12}h^{27}j^{-9}\)