Question
Simplify the expression
189x7x
Evaluate
(63x)23
To raise a product to a power,raise each factor to that power
6323x23
Use anm=nam to transform the expression
More Steps

Evaluate
6323
Use anm=nam to transform the expression
633
Rewrite the expression
632×63
Rewrite the expression
632×63
Rewrite the expression
6363
Simplify
63×37
Calculate
1897
1897×x23
Use anm=nam to transform the expression
1897×x3
Simplify the radical expression
More Steps

Evaluate
x3
Rewrite the exponent as a sum
x2+1
Use am+n=am×an to expand the expression
x2×x
The root of a product is equal to the product of the roots of each factor
x2×x
Reduce the index of the radical and exponent with 2
xx
1897×xx
Solution
189x7x
Show Solution

Find the roots
x=0
Evaluate
(63x)23
To find the roots of the expression,set the expression equal to 0
(63x)23=0
Find the domain
(63x)23=0,x≥0
Calculate
(63x)23=0
Calculate
1897×x23=0
Rewrite the expression
x23=0
The only way a root could be 0 is when the radicand equals 0
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
