Question
Simplify the expression
−B43i
Evaluate
a2×60÷(a2×80Bi)
Dividing by an is the same as multiplying by a−n
80Bia2×60a−2
Multiply
More Steps

Multiply the terms
a2×60a−2
Multiply the terms with the same base by adding their exponents
a2−2×60
Subtract the numbers
a0×60
Any non-zero expression raised to the power of 0 equals 1
60
80Bi60
Multiply the numbers
80iB60
Calculate
More Steps

Evaluate
80i60
Multiply by the Conjugate
80i×i60i
Calculate
More Steps

Evaluate
80i×i
Multiply
80i2
Use i2=−1 to transform the expression
80(−1)
Calculate
−80
−8060i
Rewrite the expression
−8020×3i
Cancel out the common factor 20
−43i
Use b−a=−ba=−ba to rewrite the fraction
−43i
Reduce the fraction
−43i
B−43i
Solution
−B43i
Show Solution

Find the excluded values
a=0,B=0
Evaluate
a2×60÷(a2×80Bi)
To find the excluded values,set the denominators equal to 0
a2B=0
Separate the equation into 2 possible cases
a2=0B=0
The only way a power can be 0 is when the base equals 0
a=0B=0
Solution
a=0,B=0
Show Solution
