Question
Simplify the expression
330x4
Evaluate
x23x3×11x2×10x
Multiply
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Evaluate
3x3×11x2×10x
Multiply the terms
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Evaluate
3×11×10
Multiply the terms
33×10
Multiply the numbers
330
330x3×x2×x
Multiply the terms with the same base by adding their exponents
330x3+2+1
Add the numbers
330x6
x2330x6
Solution
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Calculate
x2x6
Use the product rule aman=an−m to simplify the expression
x6−2
Subtract the terms
x4
330x4
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Find the excluded values
x=0
Evaluate
x23x3×11x2×10x
To find the excluded values,set the denominators equal to 0
x2=0
Solution
x=0
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Find the roots
x∈∅
Evaluate
x23x3×11x2×10x
To find the roots of the expression,set the expression equal to 0
x23x3×11x2×10x=0
The only way a power can not be 0 is when the base not equals 0
x23x3×11x2×10x=0,x=0
Calculate
x23x3×11x2×10x=0
Multiply
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Multiply the terms
3x3×11x2×10x
Multiply the terms
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Evaluate
3×11×10
Multiply the terms
33×10
Multiply the numbers
330
330x3×x2×x
Multiply the terms with the same base by adding their exponents
330x3+2+1
Add the numbers
330x6
x2330x6=0
Divide the terms
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Evaluate
x2330x6
Use the product rule aman=an−m to simplify the expression
1330x6−2
Simplify
330x6−2
Divide the terms
330x4
330x4=0
Rewrite the expression
x4=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution
