Question
Simplify the expression
x284x25
Evaluate
(x712)(x127)
Rewrite the expression
x712(x127)
Rewrite the expression
x712×x127
Use the product rule an×am=an+m to simplify the expression
x712+127
Add the numbers
More Steps

Evaluate
712+127
Reduce fractions to a common denominator
7×1212×12+12×77×7
Multiply the numbers
8412×12+12×77×7
Multiply the numbers
8412×12+847×7
Write all numerators above the common denominator
8412×12+7×7
Multiply the numbers
84144+7×7
Multiply the numbers
84144+49
Add the numbers
84193
x84193
Use anm=nam to transform the expression
84x193
Rewrite the exponent as a sum
84x168+25
Use am+n=am×an to expand the expression
84x168×x25
The root of a product is equal to the product of the roots of each factor
84x168×84x25
Solution
x284x25
Show Solution

Find the roots
x=0
Evaluate
(x712)(x127)
To find the roots of the expression,set the expression equal to 0
(x712)(x127)=0
Find the domain
(x712)(x127)=0,x≥0
Calculate
(x712)(x127)=0
Calculate
x712(x127)=0
Calculate
x712×x127=0
Multiply the terms
More Steps

Evaluate
x712×x127
Use the product rule an×am=an+m to simplify the expression
x712+127
Add the numbers
More Steps

Evaluate
712+127
Reduce fractions to a common denominator
7×1212×12+12×77×7
Multiply the numbers
8412×12+12×77×7
Multiply the numbers
8412×12+847×7
Write all numerators above the common denominator
8412×12+7×7
Multiply the numbers
84144+7×7
Multiply the numbers
84144+49
Add the numbers
84193
x84193
x84193=0
Evaluate the power
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
