Question
Simplify the expression
8x3x
Evaluate
(16x)43x127
Rewrite the expression
8x43×x127
Multiply the terms
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Evaluate
x43×x127
Use the product rule an×am=an+m to simplify the expression
x43+127
Add the numbers
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Evaluate
43+127
Reduce fractions to a common denominator
4×33×3+127
Multiply the numbers
123×3+127
Write all numerators above the common denominator
123×3+7
Multiply the numbers
129+7
Add the numbers
1216
Cancel out the common factor 4
34
x34
8x34
Use anm=nam to transform the expression
83x4
Solution
More Steps

Evaluate
3x4
Rewrite the exponent as a sum
3x3+1
Use am+n=am×an to expand the expression
3x3×x
The root of a product is equal to the product of the roots of each factor
3x3×3x
Reduce the index of the radical and exponent with 3
x3x
8x3x
Show Solution

Find the roots
x=0
Evaluate
(16x)43x127
To find the roots of the expression,set the expression equal to 0
(16x)43x127=0
Find the domain
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Evaluate
{16x≥0x≥0
Calculate
{x≥0x≥0
Find the intersection
x≥0
(16x)43x127=0,x≥0
Calculate
(16x)43x127=0
Multiply the terms
More Steps

Evaluate
(16x)43x127
Rewrite the expression
8x43×x127
Multiply the terms
More Steps

Evaluate
x43×x127
Use the product rule an×am=an+m to simplify the expression
x43+127
Add the numbers
x34
8x34
8x34=0
Rewrite the expression
x34=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution
