Question
Simplify the expression
45x10
Evaluate
5x4(2x−3)−2
Rewrite the expression
5x4×41x6
Multiply the numbers
45x4×x6
Solution
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Evaluate
x4×x6
Use the product rule an×am=an+m to simplify the expression
x4+6
Add the numbers
x10
45x10
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Find the roots
x∈∅
Evaluate
5x4(2x−3)−2
To find the roots of the expression,set the expression equal to 0
5x4(2x−3)−2=0
Find the domain
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Evaluate
{x=02x−3=0
Calculate
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Evaluate
2x−3=0
Rewrite the expression
x−3=0
Rearrange the terms
x31=0
Calculate
{1=0x3=0
The statement is true for any value of x
{x∈Rx3=0
The only way a power can not be 0 is when the base not equals 0
{x∈Rx=0
Find the intersection
x=0
{x=0x=0
Find the intersection
x=0
5x4(2x−3)−2=0,x=0
Calculate
5x4(2x−3)−2=0
Multiply the terms
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Multiply the terms
5x4(2x−3)−2
Rewrite the expression
5x4×41x6
Multiply the numbers
45x4×x6
Multiply the terms
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Evaluate
x4×x6
Use the product rule an×am=an+m to simplify the expression
x4+6
Add the numbers
x10
45x10
45x10=0
Rewrite the expression
x10=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
