Question
Solve the equation
m=6318
Alternative Form
m≈0.43679
Evaluate
2m2×3m×10=5
Multiply
More Steps

Evaluate
2m2×3m×10
Multiply the terms
More Steps

Evaluate
2×3×10
Multiply the terms
6×10
Multiply the numbers
60
60m2×m
Multiply the terms with the same base by adding their exponents
60m2+1
Add the numbers
60m3
60m3=5
Divide both sides
6060m3=605
Divide the numbers
m3=605
Cancel out the common factor 5
m3=121
Take the 3-th root on both sides of the equation
3m3=3121
Calculate
m=3121
Solution
More Steps

Evaluate
3121
To take a root of a fraction,take the root of the numerator and denominator separately
31231
Simplify the radical expression
3121
Multiply by the Conjugate
312×31223122
Simplify
312×31222318
Multiply the numbers
More Steps

Evaluate
312×3122
The product of roots with the same index is equal to the root of the product
312×122
Calculate the product
3123
Reduce the index of the radical and exponent with 3
12
122318
Cancel out the common factor 2
6318
m=6318
Alternative Form
m≈0.43679
Show Solution
