Question
Simplify the expression
90x2
Evaluate
x32x3×5x2×9
Multiply
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Evaluate
2x3×5x2×9
Multiply the terms
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Evaluate
2×5×9
Multiply the terms
10×9
Multiply the numbers
90
90x3×x2
Multiply the terms with the same base by adding their exponents
90x3+2
Add the numbers
90x5
x390x5
Solution
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Calculate
x3x5
Use the product rule aman=an−m to simplify the expression
x5−3
Subtract the terms
x2
90x2
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Find the excluded values
x=0
Evaluate
x32x3×5x2×9
To find the excluded values,set the denominators equal to 0
x3=0
Solution
x=0
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Find the roots
x∈∅
Evaluate
x32x3×5x2×9
To find the roots of the expression,set the expression equal to 0
x32x3×5x2×9=0
The only way a power can not be 0 is when the base not equals 0
x32x3×5x2×9=0,x=0
Calculate
x32x3×5x2×9=0
Multiply
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Multiply the terms
2x3×5x2×9
Multiply the terms
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Evaluate
2×5×9
Multiply the terms
10×9
Multiply the numbers
90
90x3×x2
Multiply the terms with the same base by adding their exponents
90x3+2
Add the numbers
90x5
x390x5=0
Divide the terms
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Evaluate
x390x5
Use the product rule aman=an−m to simplify the expression
190x5−3
Simplify
90x5−3
Divide the terms
90x2
90x2=0
Rewrite the expression
x2=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
