Question
Simplify the expression
x15x2
Evaluate
x54×x31
Use the product rule an×am=an+m to simplify the expression
x54+31
Add the numbers
More Steps

Evaluate
54+31
Reduce fractions to a common denominator
5×34×3+3×55
Multiply the numbers
154×3+3×55
Multiply the numbers
154×3+155
Write all numerators above the common denominator
154×3+5
Multiply the numbers
1512+5
Add the numbers
1517
x1517
Use anm=nam to transform the expression
15x17
Rewrite the exponent as a sum
15x15+2
Use am+n=am×an to expand the expression
15x15×x2
The root of a product is equal to the product of the roots of each factor
15x15×15x2
Solution
x15x2
Show Solution

Find the roots
x=0
Evaluate
x54×x31
To find the roots of the expression,set the expression equal to 0
x54×x31=0
Multiply the terms
More Steps

Evaluate
x54×x31
Use the product rule an×am=an+m to simplify the expression
x54+31
Add the numbers
More Steps

Evaluate
54+31
Reduce fractions to a common denominator
5×34×3+3×55
Multiply the numbers
154×3+3×55
Multiply the numbers
154×3+155
Write all numerators above the common denominator
154×3+5
Multiply the numbers
1512+5
Add the numbers
1517
x1517
x1517=0
Solution
x=0
Show Solution
