The expression \((3x^2)^4 / 9x^3\) is equivalent to which other expression?
Answer (2)
9 x 3 ( 3 x 2 ) 4 = 9 x 3 3 4 x 2 ⋅ 4 = 9 x 3 81 x 8 = 9 x 8 − 3 = 9 x 5
The expression 9 x 3 ( 3 x 2 ) 4 simplifies to 9 x 5 by expanding the numerator and then simplifying the resulting fraction. The process involves raising the powers, simplifying the coefficients, and subtracting exponents for like bases. Thus, the final equivalent expression is 9 x 5 .
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