Question
Simplify the expression
16x3
Evaluate
16x2×16x4
Multiply
More Steps

Multiply the terms
16x2×16x4
Multiply the terms
256x2×x4
Multiply the terms with the same base by adding their exponents
256x2+4
Add the numbers
256x6
256x6
Transform the expression
(16x3)2
Solution
16x3
Show Solution

Find the roots
x=0
Evaluate
16x2×16x4
To find the roots of the expression,set the expression equal to 0
16x2×16x4=0
Find the domain
More Steps

Evaluate
16x2×16x4≥0
Multiply
More Steps

Evaluate
16x2×16x4
Multiply the terms
256x2×x4
Multiply the terms with the same base by adding their exponents
256x2+4
Add the numbers
256x6
256x6≥0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x
x∈R
16x2×16x4=0,x∈R
Calculate
16x2×16x4=0
Multiply
More Steps

Multiply the terms
16x2×16x4
Multiply the terms
256x2×x4
Multiply the terms with the same base by adding their exponents
256x2+4
Add the numbers
256x6
256x6=0
Simplify the root
More Steps

Evaluate
256x6
Transform the expression
(16x3)2
Reduce the index of the radical and exponent with nan=a
16x3
16x3=0
Rewrite the expression
x3=0
Rewrite the expression
x3=0
Solution
x=0
Show Solution
