Question
Simplify the expression
r66
Evaluate
(3×2r−4)r2×4r−4
Remove the parentheses
3×2r−4r2×4r−4
Rewrite the expression
More Steps

Evaluate
2r−4
Express with a positive exponent using a−n=an1
2r41
Simplify
2r41
3×2r41×r2×4r−4
Multiply the terms
12×2r41×r2×r−4
Multiply the terms with the same base by adding their exponents
12×2r41×r2−4
Subtract the numbers
12×2r41×r−2
Multiply the terms
More Steps

Multiply the terms
12×2r41
Cancel out the common factor 2
6×r41
Multiply the terms
r46
r46×r−2
Express with a positive exponent using a−n=an1
r46×r21
Multiply the terms
r4×r26
Solution
More Steps

Evaluate
r4×r2
Use the product rule an×am=an+m to simplify the expression
r4+2
Add the numbers
r6
r66
Show Solution

Find the roots
r∈∅
Evaluate
(3×2r−4)r2×4r−4
To find the roots of the expression,set the expression equal to 0
(3×2r−4)r2×4r−4=0
Find the domain
(3×2r−4)r2×4r−4=0,r=0
Calculate
(3×2r−4)r2×4r−4=0
Rewrite the expression
More Steps

Evaluate
2r−4
Express with a positive exponent using a−n=an1
2r41
Simplify
2r41
(3×2r41)r2×4r−4=0
Multiply the terms
2r43×r2×4r−4=0
Multiply
More Steps

Multiply the terms
2r43×r2×4r−4
Multiply the terms with the same base by adding their exponents
2r43×r2−4×4
Subtract the numbers
2r43×r−2×4
Multiply the terms
More Steps

Evaluate
2r43×r−2
Express with a positive exponent using a−n=an1
2r43×r21
Multiply the terms
2r4×r23
Multiply the terms
2r63
2r63×4
Cancel out the common factor 2
r63×2
Multiply the terms
r63×2
Multiply the terms
r66
r66=0
Cross multiply
6=r6×0
Simplify the equation
6=0
Solution
r∈∅
Show Solution
