Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
288s2
Evaluate
10s×960s2×54s×8
Dividing by an is the same as multiplying by a−n
10×960s2×54s×8s−1
Multiply
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Evaluate
60s2×54s×8s−1
Multiply the terms
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Evaluate
60×54×8
Multiply the terms
3240×8
Multiply the numbers
25920
25920s2×s×s−1
Multiply the terms with the same base by adding their exponents
25920s2+1−1
Calculate the sum or difference
25920s2
10×925920s2
Multiply the numbers
9025920s2
Solution
288s2
Show Solution
Find the excluded values
s=0
Evaluate
10s×960s2×54s×8
To find the excluded values,set the denominators equal to 0
10s×9=0
Multiply the terms
90s=0
Solution
s=0
Show Solution
Find the roots
s∈∅
Evaluate
10s×960s2×54s×8
To find the roots of the expression,set the expression equal to 0
10s×960s2×54s×8=0
Find the domain
More Steps
Evaluate
10s×9=0
Multiply the terms
90s=0
Rewrite the expression
s=0
10s×960s2×54s×8=0,s=0
Calculate
10s×960s2×54s×8=0
Multiply
More Steps
Multiply the terms
60s2×54s×8
Multiply the terms
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Evaluate
60×54×8
Multiply the terms
3240×8
Multiply the numbers
25920
25920s2×s
Multiply the terms with the same base by adding their exponents
25920s2+1
Add the numbers
25920s3
10s×925920s3=0
Multiply the terms
90s25920s3=0
Divide the terms
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Evaluate
90s25920s3
Use the product rule aman=an−m to simplify the expression
9025920s3−1
Reduce the fraction
9025920s2
Divide the terms
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Evaluate
9025920
Reduce the numbers
1288
Calculate
288
288s2
288s2=0
Rewrite the expression
s2=0
The only way a power can be 0 is when the base equals 0
s=0
Check if the solution is in the defined range
s=0,s=0
Solution
s∈∅
Show Solution