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(a^(m))^(n)*a^(mn) Which of the following is equivalent to the given expression?

(am)n⋅amn \left(a^{m}\right)^{n} \cdot a^{m n} \newlineWhich of the following is equivalent to the given expression?

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Full solution

Q. (am)n⋅amn \left(a^{m}\right)^{n} \cdot a^{m n} \newlineWhich of the following is equivalent to the given expression?
  1. Simplify using exponent rules: Simplify the expression using exponent rules: (am)n⋅amn(a^{m})^{n} \cdot a^{mn}.
  2. Combine exponents with same base: Combine the exponents since the bases are the same: am∗n∗amna^{m*n} * a^{mn}.
  3. Simplify the exponent: Simplify the exponent: m∗n+mnm*n + mn.

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