Question
Simplify the expression
6m3−5
Evaluate
3m2×2m−5
Solution
More Steps

Evaluate
3m2×2m
Multiply the terms
6m2×m
Multiply the terms with the same base by adding their exponents
6m2+1
Add the numbers
6m3
6m3−5
Show Solution

Find the roots
m=63180
Alternative Form
m≈0.941036
Evaluate
3m2×2m−5
To find the roots of the expression,set the expression equal to 0
3m2×2m−5=0
Multiply
More Steps

Multiply the terms
3m2×2m
Multiply the terms
6m2×m
Multiply the terms with the same base by adding their exponents
6m2+1
Add the numbers
6m3
6m3−5=0
Move the constant to the right-hand side and change its sign
6m3=0+5
Removing 0 doesn't change the value,so remove it from the expression
6m3=5
Divide both sides
66m3=65
Divide the numbers
m3=65
Take the 3-th root on both sides of the equation
3m3=365
Calculate
m=365
Solution
More Steps

Evaluate
365
To take a root of a fraction,take the root of the numerator and denominator separately
3635
Multiply by the Conjugate
36×36235×362
Simplify
36×36235×336
Multiply the numbers
More Steps

Evaluate
35×336
The product of roots with the same index is equal to the root of the product
35×36
Calculate the product
3180
36×3623180
Multiply the numbers
More Steps

Evaluate
36×362
The product of roots with the same index is equal to the root of the product
36×62
Calculate the product
363
Reduce the index of the radical and exponent with 3
6
63180
m=63180
Alternative Form
m≈0.941036
Show Solution
