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Simplify the expression.$\left(-3v\right)^5$(−3v)5​The simplified expression is .

Question

Simplify the expression.(3v)5\left(-3v\right)^5(−3v)5​The simplified expression is .

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Solution

To simplify the expression (3v)5\left(-3v\right)^5, you need to apply the power to both the coefficient and the variable separately.

Step 1: Apply the power to the coefficient -3. Since -3 is raised to the power of 5, which is an odd number, the sign will remain negative. So, (-3)^5 = -243.

Step 2: Apply the power to the variable v. v^5 remains as it is, because we can't simplify it further without knowing the value of v.

So, the simplified expression is -243v^5.

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