Simplify the expression:
\[(3m^4n^6)(2mn)^0(2m^2n)\]
Answer (2)
( 3 m 4 n 6 ) ∗ ( 2 mn ) 0 ∗ ( 2 m 2 n ) ( 3 m 4 n 6 ) ∗ ( 2 m 2 n ) 3 ∗ 2 ∗ m 4 ∗ m 2 ∗ n 6 ∗ n 6 ∗ m 4 + 2 ∗ n 6 + 1 6 m 6 n 7
The expression ( 3 m 4 n 6 ) ( 2 mn ) 0 ( 2 m 2 n ) simplifies to 6 m 6 n 7 after applying the property that any number raised to the power of zero is 1, and then combining like terms by multiplying coefficients and adding exponents. The key steps include evaluating the zero exponent and multiplying the remaining terms. The final answer is 6 m 6 n 7 .
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