Question
Simplify the expression
x4x
Evaluate
(x87)−4
Multiply the exponents
x87(−4)
Multiply the numbers
More Steps

Evaluate
87(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−87×4
Reduce the numbers
−27×1
Multiply the numbers
−27
x−27
Express with a positive exponent using a−n=an1
x271
Transform the expression
More Steps

Evaluate
x27
Use anm=nam to transform the expression
x7
Rewrite the exponent as a sum
x6+1
Use am+n=am×an to expand the expression
x6×x
The root of a product is equal to the product of the roots of each factor
x6×x
Reduce the index of the radical and exponent with 2
x3x
x3x1
Multiply by the Conjugate
x3x×x1×x
Calculate
x3×x1×x
Any expression multiplied by 1 remains the same
x3×xx
Solution
x4x
Show Solution

Find the roots
x∈∅
Evaluate
(x87)−4
To find the roots of the expression,set the expression equal to 0
(x87)−4=0
Find the domain
More Steps

Evaluate
{x≥0x87=0
Calculate
{x≥0x=0
Find the intersection
x>0
(x87)−4=0,x>0
Calculate
(x87)−4=0
Evaluate the power
More Steps

Evaluate
(x87)−4
Transform the expression
x87(−4)
Multiply the numbers
More Steps

Evaluate
87(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−87×4
Reduce the numbers
−27×1
Multiply the numbers
−27
x−27
x−27=0
Rewrite the expression
x271=0
Cross multiply
1=x27×0
Simplify the equation
1=0
Solution
x∈∅
Show Solution
