Question
Simplify the expression
125x7
Evaluate
((54×52x2)x)×5x4
Remove the parentheses
54×52x2×x×5x4
Multiply the terms with the same base by adding their exponents
54+1×52x2×x×x4
Add the numbers
55×52x2×x×x4
Multiply the terms with the same base by adding their exponents
55×52x2×x1+4
Add the numbers
55×52x2×x5
Cancel out the common factor 52
53x2×x5
Evaluate the power
125x2×x5
Solution
More Steps

Evaluate
x2×x5
Use the product rule an×am=an+m to simplify the expression
x2+5
Add the numbers
x7
125x7
Show Solution

Find the roots
x=0
Evaluate
((54×52x2)x)×5x4
To find the roots of the expression,set the expression equal to 0
((54×52x2)x)×5x4=0
Cancel out the common factor 52
(52x2×x)×5x4=0
Multiply the terms
More Steps

Evaluate
52x2×x
Evaluate the power
25x2×x
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
25x3
25x3×5x4=0
Multiply
More Steps

Multiply the terms
25x3×5x4
Multiply the terms
125x3×x4
Multiply the terms with the same base by adding their exponents
125x3+4
Add the numbers
125x7
125x7=0
Rewrite the expression
x7=0
Solution
x=0
Show Solution
