Respuesta :

nobillionaireNobley
[tex] ( a^{2} b^{3} )^{4} = a^{2 \times4 } b^{3 \times4 } = a^{8} b^{12} [/tex]

Answer:

a^ 8 b^ 12

Step-by-step explanation:

The product of power law of indices states that

(aˣ)ⁿ = a^xn

Applying this law of indices to the given expression would mean that the power of 4 would be multiplied with the powers of both a and b such that

(a^ 2 b^ 3)^4 =  a^ 2×4 b^ 3×4

= a^ 8 b^ 12

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