Question
Simplify the expression
3a2b4a3b2
Evaluate
3a45b23a23b0
Evaluate the power
3a45b23a23×1
Rewrite the expression
3a45b23a23
Multiply the terms with the same base by adding their exponents
3a45+23b23
Add the numbers
More Steps

Evaluate
45+23
Reduce fractions to a common denominator
45+2×23×2
Multiply the numbers
45+43×2
Write all numerators above the common denominator
45+3×2
Multiply the numbers
45+6
Add the numbers
411
3a411b23
Use anm=nam to transform the expression
34a11×b23
Use anm=nam to transform the expression
34a11×b3
Simplify the radical expression
More Steps

Evaluate
4a11
Rewrite the exponent as a sum
4a8+3
Use am+n=am×an to expand the expression
4a8×a3
The root of a product is equal to the product of the roots of each factor
4a8×4a3
Reduce the index of the radical and exponent with 4
a24a3
3a24a3×b3
Simplify the radical expression
More Steps

Evaluate
b3
Rewrite the exponent as a sum
b2+1
Use am+n=am×an to expand the expression
b2×b
The root of a product is equal to the product of the roots of each factor
b2×b
Reduce the index of the radical and exponent with 2
bb
3a24a3×bb
Solution
3a2b4a3b2
Show Solution
