Question
Simplify the expression
−32u3
Evaluate
2u2×3iu×1×i
Reduce the fraction
2u2×31iu×1×i
Rewrite the expression
2u2×31iui
Multiply the terms with the same base by adding their exponents
2u2+1×31i×i
Add the numbers
2u3×31i×i
Multiply the numbers
32iu3i
Solution
More Steps

Evaluate
32i×i
Multiply
32i2
Use i2=−1 to transform the expression
32(−1)
Calculate
−32
−32u3
Show Solution

Find the roots
u=0
Evaluate
2u2×3iu×1×i
To find the roots of the expression,set the expression equal to 0
2u2×3iu×1×i=0
Reduce the fraction
2u2×31iu×1×i=0
Multiply the terms
More Steps

Multiply the terms
2u2×31iu×1×i
Rewrite the expression
2u2×31iui
Multiply the terms with the same base by adding their exponents
2u2+1×31i×i
Add the numbers
2u3×31i×i
Multiply the numbers
32iu3i
Multiply the numbers
More Steps

Evaluate
32i×i
Multiply
32i2
Use i2=−1 to transform the expression
32(−1)
Calculate
−32
−32u3
−32u3=0
Change the signs on both sides of the equation
32u3=0
Rewrite the expression
u3=0
Solution
u=0
Show Solution
