Question
Simplify the expression
Solution
−10100e2t3y3p2ca2l3s3r3n5k2mo2u2zw
Evaluate
typicalsprinklersystemlayoutzar×an×10100unknown
Rewrite the expression in exponential form
t3y3pica3l3s3pr3in4ke×emouz×an×10100ukow
Multiply the terms
t3y3p2ica3l3s3r3in4ke×emouz×an×10100ukow
Multiply the terms
t3y3p2ica3l3s3r3in4k2e×emouz×an×10100uow
Multiply the terms
More Steps

Evaluate
e×e
Multiply the terms with the same base by adding their exponents
e1+1
Add the numbers
e2
t3y3p2ica3l3s3r3in4k2e2mouz×an×10100uow
Multiply the terms
t3y3p2ica3l3s3r3in4k2e2mo2uz×an×10100uw
Multiply the terms
t3y3p2ica3l3s3r3in4k2e2mo2u2z×an×10100w
Use the commutative property to reorder the terms
it3y3p2ca3l3s3r3in4k2e2mo2u2z×an×10100w
Multiply the numbers
More Steps

Evaluate
i×i
Multiply
i2
Use i2=−1 to transform the expression
1×(−1)
Calculate
−1
−t3y3p2ca3l3s3r3n4k2e2mo2u2z×an×10100w
Use the commutative property to reorder the terms
−e2t3y3p2ca3l3s3r3n4k2mo2u2z×an×10100w
Multiply the terms
More Steps

Multiply the terms
−e2t3y3p2ca3l3s3r3n4k2mo2u2z×an
Cancel out the common factor a
−e2t3y3p2ca2l3s3r3n4k2mo2u2zn
Multiply the terms
More Steps

Evaluate
n4×n
Use the product rule an×am=an+m to simplify the expression
n4+1
Add the numbers
n5
−e2t3y3p2ca2l3s3r3n5k2mo2u2z
−e2t3y3p2ca2l3s3r3n5k2mo2u2z×10100w
Solution
−10100e2t3y3p2ca2l3s3r3n5k2mo2u2zw
Show Solution
Find the excluded values
Find the excluded values
a=0
Evaluate
typicalsprinklersystemlayoutzar×an×10100unknown
Solution
a=0
Show Solution