Question
225÷(60r×18ni×235)÷(55r×18)
Simplify the expression
−990r2n11281i
Evaluate
225÷(60r×18ni×235)÷(55r×18)
Multiply
More Steps

Multiply the terms
60r×18ni×235
Multiply the terms
More Steps

Evaluate
60×18×235
Multiply the terms
1080×235
Multiply the numbers
253800
253800rni
Multiply the numbers
253800irn
225÷253800irn÷(55r×18)
Divide the terms
More Steps

Evaluate
225÷253800irn
Rewrite the expression
253800irn225
Calculate
More Steps

Evaluate
253800i225
Multiply by the Conjugate
253800i×i225i
Calculate
−253800225i
Cancel out the common factor 225
−1128i
Use b−a=−ba=−ba to rewrite the fraction
−1128i
Reduce the fraction
−11281i
rn−11281i
Use b−a=−ba=−ba to rewrite the fraction
−rn11281i
(−rn11281i)÷(55r×18)
Multiply the terms
(−rn11281i)÷990r
Multiply by the reciprocal
−rn11281i×990r1
Multiply the terms
−rn×990r11281i
Solution
More Steps

Evaluate
rn×990r
Use the commutative property to reorder the terms
990rnr
Multiply the terms
990r2n
−990r2n11281i
Show Solution

Find the excluded values
r=0,n=0
Evaluate
225÷(60r×18ni×235)÷(55r×18)
To find the excluded values,set the denominators equal to 0
rn=055r×18=0
Solve the equations
More Steps

Evaluate
rn=0
Separate the equation into 2 possible cases
r=0n=0
Find the union
n=0r=0
r=0n=055r×18=0
Solve the equations
More Steps

Evaluate
55r×18=0
Multiply the terms
990r=0
Rewrite the expression
r=0
r=0n=0r=0
Solution
r=0,n=0
Show Solution
