Apply Power Separately: Apply the power to both the coefficient and the variables separately. (3mn)^4 = 3^4 * m^4 * n^4Calculate 3^4: Calculate the value of 3 raised to the power of 4. 3^4 = 3 * 3 * 3 * 3 = 81Write Expression: Write down the expression with the calculated value of 3^4. (3mn)^4 = 81 * m^4 * n^4Final Answer: Since there are no further calculations needed, the final expression is the answer. (3mn)^4 = 81m^4n^4

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$(3 m n)^{4}$

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Math Problems

Grade 7

Powers with negative bases

Full solution

(3 m n)^{4}

Apply Power Separately: Apply the power to both the coefficient and the variables separately. $\newline$ $(3mn)^4 = 3^4 \times m^4 \times n^4$
Calculate $3^4$ : Calculate the value of $3$ raised to the power of $4$ . $\newline$ $3^4 = 3 \times 3 \times 3 \times 3 = 81$
Write Expression: Write down the expression with the calculated value of $3^4$ . $\newline$ $(3mn)^4 = 81 \times m^4 \times n^4$
Final Answer: Since there are no further calculations needed, the final expression is the answer. $\newline$ $(3mn)^4 = 81m^4n^4$