Question
Solve the equation
m=1033300
Alternative Form
m≈1.488806
Evaluate
5×32m3=11
Multiply the terms
More Steps

Multiply the terms
5×32m3
Multiply the terms
35×2m3
Multiply the terms
310m3
310m3=11
Cross multiply
10m3=3×11
Simplify the equation
10m3=33
Divide both sides
1010m3=1033
Divide the numbers
m3=1033
Take the 3-th root on both sides of the equation
3m3=31033
Calculate
m=31033
Solution
More Steps

Evaluate
31033
To take a root of a fraction,take the root of the numerator and denominator separately
310333
Multiply by the Conjugate
310×3102333×3102
Simplify
310×3102333×3100
Multiply the numbers
More Steps

Evaluate
333×3100
The product of roots with the same index is equal to the root of the product
333×100
Calculate the product
33300
310×310233300
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
1033300
m=1033300
Alternative Form
m≈1.488806
Show Solution
