Question
Simplify the expression
8100x6
Evaluate
20x2(30×16x)x2×24x×9
Remove the parentheses
20x2×30×16xx2×24x×9
Multiply the terms
More Steps

Evaluate
20×30×24×9
Multiply the terms
600×24×9
Multiply the terms
14400×9
Multiply the numbers
129600
129600x2×16xx2×x
Multiply the terms with the same base by adding their exponents
129600x2+2+1×16x
Add the numbers
129600x5×16x
Cancel out the common factor 16
8100x5×x
Solution
More Steps

Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
8100x6
Show Solution

Find the roots
x=0
Evaluate
20x2(30×16x)x2×24x×9
To find the roots of the expression,set the expression equal to 0
20x2(30×16x)x2×24x×9=0
Multiply the terms
More Steps

Multiply the terms
30×16x
Cancel out the common factor 2
15×8x
Multiply the terms
815x
20x2×815xx2×24x×9=0
Multiply
More Steps

Multiply the terms
20x2×815xx2×24x×9
Multiply the terms
More Steps

Evaluate
20×24×9
Multiply the terms
480×9
Multiply the numbers
4320
4320x2×815xx2×x
Multiply the terms with the same base by adding their exponents
4320x2+2+1×815x
Add the numbers
4320x5×815x
Cancel out the common factor 8
540x5×15x
Multiply the numbers
8100x5×x
Multiply the terms
More Steps

Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
8100x6
8100x6=0
Rewrite the expression
x6=0
Solution
x=0
Show Solution
