7(m ³ ) ⁴ +18(m ⁴ ) ³ (5m ⁶) ²=

To simplify the expression \( 7(m^3)^4 + 18(m^4)^3 \) and \((5m^6)^2\), we will calculate each part step-by-step.

1. Simplifying \( 7(m^3)^4 \): \[ 7(m^3)^4 = 7 \cdot m^{3 \cdot 4} = 7 \cdot m^{12} = 7m^{12} \]

2. Simplifying \( 18(m^4)^3 \): \[ 18(m^4)^3 = 18 \cdot m^{4 \cdot 3} = 18 \cdot m^{12} = 18m^{12} \]

3. Combining the two terms: \[ 7m^{12} + 18m^{12} = (7 + 18)m^{12} = 25m^{12} \]

Now we have \( 25m^{12} \).

Next, we simplify \((5m^6)^2\):

4. Calculating \((5m^6)^2\): \[ (5m^6)^2 = 5^2 \cdot (m^6)^2 = 25 \cdot m^{6 \cdot 2} = 25m^{12} \]

Finally, we can state the two results:

1. \( 7(m^3)^4 + 18(m^4)^3 = 25m^{12} \)

2. \((5m^6)^2 = 25m^{12}\)

Both expressions simplify to \( 25m^{12} \).