Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x7x3−1
Evaluate
x2×2x5x3−1
Solution
More Steps
Evaluate
x2×2x5
Multiply the terms with the same base by adding their exponents
x2+5×2
Add the numbers
x7×2
Use the commutative property to reorder the terms
2x7
2x7x3−1
Show Solution
Find the excluded values
x=0
Evaluate
x2×2x5x3−1
To find the excluded values,set the denominators equal to 0
x2×x5=0
Multiply the terms
More Steps
Evaluate
x2×x5
Use the product rule an×am=an+m to simplify the expression
x2+5
Add the numbers
x7
x7=0
Solution
x=0
Show Solution
Find the roots
x=1
Evaluate
x2×2x5x3−1
To find the roots of the expression,set the expression equal to 0
x2×2x5x3−1=0
Find the domain
More Steps
Evaluate
x2×x5=0
Multiply the terms
More Steps
Evaluate
x2×x5
Use the product rule an×am=an+m to simplify the expression
x2+5
Add the numbers
x7
x7=0
The only way a power can not be 0 is when the base not equals 0
x=0
x2×2x5x3−1=0,x=0
Calculate
x2×2x5x3−1=0
Multiply
More Steps
Multiply the terms
x2×2x5
Multiply the terms with the same base by adding their exponents
x2+5×2
Add the numbers
x7×2
Use the commutative property to reorder the terms
2x7
2x7x3−1=0
Cross multiply
x3−1=2x7×0
Simplify the equation
x3−1=0
Move the constant to the right side
x3=1
Take the 3-th root on both sides of the equation
3x3=31
Calculate
x=31
Simplify the root
x=1
Check if the solution is in the defined range
x=1,x=0
Solution
x=1
Show Solution