Evaluate
54B_{42}c^{2}m^{4}
Differentiate w.r.t. B_42
54c^{2}m^{4}
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54^{1}c^{1}m^{2}B_{42}^{1}c^{1}m^{2}
Use the rules of exponents to simplify the expression.
54^{1}B_{42}^{1}c^{1}c^{1}m^{2}m^{2}
Use the Commutative Property of Multiplication.
54^{1}B_{42}^{1}c^{1+1}m^{2+2}
To multiply powers of the same base, add their exponents.
54^{1}B_{42}^{1}c^{2}m^{2+2}
Add the exponents 1 and 1.
54^{1}B_{42}^{1}c^{2}m^{4}
Add the exponents 2 and 2.
54B_{42}c^{2}m^{4}
Multiply 54 times B_{42}.
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