Evaluate 7^3 square root of -64

Problem

7√(,−64)

Solution

1. Evaluate the power 7 by multiplying 7 by itself three times.

7=343

2. Evaluate the square root of the negative number using the imaginary unit i where √(,−1)=i

√(,−64)=√(,64)⋅√(,−1)

√(,−64)=8*i

3. Multiply the two results together to find the final value.

343⋅8*i=2744*i

Final Answer

7√(,−64)=2744*i

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