Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4x7−1
Evaluate
x3−x41×1×1
Multiply the terms
x3−x41
Reduce fractions to a common denominator
x4x3×x4−x41
Write all numerators above the common denominator
x4x3×x4−1
Solution
More Steps
Evaluate
x3×x4
Use the product rule an×am=an+m to simplify the expression
x3+4
Add the numbers
x7
x4x7−1
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Find the excluded values
x=0
Evaluate
x3−x41×1×1
To find the excluded values,set the denominators equal to 0
x4=0
Solution
x=0
Show Solution
Find the roots
x=1
Evaluate
x3−x41×1×1
To find the roots of the expression,set the expression equal to 0
x3−x41×1×1=0
The only way a power can not be 0 is when the base not equals 0
x3−x41×1×1=0,x=0
Calculate
x3−x41×1×1=0
Multiply the terms
x3−x41=0
Subtract the terms
More Steps
Simplify
x3−x41
Reduce fractions to a common denominator
x4x3×x4−x41
Write all numerators above the common denominator
x4x3×x4−1
Multiply the terms
More Steps
Evaluate
x3×x4
Use the product rule an×am=an+m to simplify the expression
x3+4
Add the numbers
x7
x4x7−1
x4x7−1=0
Cross multiply
x7−1=x4×0
Simplify the equation
x7−1=0
Move the constant to the right side
x7=1
Take the 7-th root on both sides of the equation
7x7=71
Calculate
x=71
Simplify the root
x=1
Check if the solution is in the defined range
x=1,x=0
Solution
x=1
Show Solution