Final answer:
The expression (-3m)⁵ * (-2m)⁴ simplifies to 243 * 16 * m⁹, which is 3888m⁹ in nominal form.
Step-by-step explanation:
To simplify the expression (-3m)⁵ * (-2m)⁴, we need to apply the rules of exponents. In particular, when you multiply terms with the same base, you add the exponents. Here, we have a negative base which does not affect the rule for adding exponents, but does affect the ultimate sign of the answer.
We have:
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- (-3)⁵ * (-2)⁴ = 243 * 16 (since a negative number to an odd power is negative, and to an even power is positive)
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- m⁵ * m⁴ = m⁵+⁴ = m⁹ (since we add exponents with the same base)
Therefore, the result is 243 * 16 * m⁹. Calculating the product of 243 and 16 gives us 3888, so the simplified expression in nominal form is 3888m⁹.