Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
y5000
Evaluate
2×10000y100×106
Multiply
More Steps
Evaluate
100×106
Transform the expression
102×106
Multiply the terms with the same base by adding their exponents
102+6
Add the numbers
108
2×10000y108
Multiply the terms
20000y108
Factor the expression
10000×2y108
Reduce the fraction
2y104
Factor the expression
More Steps
Calculate
104
Rewrite the expression
(2×5)4
Rewrite the expression
24×54
2y24×54
Reduce the fraction
More Steps
Calculate
224
Use the product rule aman=an−m to simplify the expression
24−1
Subtract the terms
23
y23×54
Solution
y5000
Show Solution
Find the excluded values
y=0
Evaluate
2×10000y100×106
To find the excluded values,set the denominators equal to 0
2×10000y=0
Multiply the terms
20000y=0
Solution
y=0
Show Solution
Find the roots
y∈∅
Evaluate
2×10000y100×106
To find the roots of the expression,set the expression equal to 0
2×10000y100×106=0
Find the domain
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Evaluate
2×10000y=0
Multiply the terms
20000y=0
Rewrite the expression
y=0
2×10000y100×106=0,y=0
Calculate
2×10000y100×106=0
Multiply the terms
More Steps
Evaluate
100×106
Rewrite the expression
102×106
Rewrite the expression
102+6
Calculate
108
2×10000y108=0
Multiply the terms
20000y108=0
Calculate
More Steps
Evaluate
20000108
Rewrite the expression
10000×2108
Rewrite the expression
104×2108
Reduce the fraction
More Steps
Evaluate
104108
Use the product rule aman=an−m to simplify the expression
108−4
Subtract the terms
104
2104
Rewrite the expression
More Steps
Calculate
104
Rewrite the expression
(2×5)4
Rewrite the expression
24×54
224×54
Reduce the fraction
More Steps
Evaluate
224
Use the product rule aman=an−m to simplify the expression
24−1
Subtract the terms
23
23×54
Calculate
5000
y5000=0
Cross multiply
5000=y×0
Simplify the equation
5000=0
Solution
y∈∅
Show Solution