Question
Solve the equation
n=5517500
Alternative Form
n≈1.411359
Evaluate
n5×95=391
Use the commutative property to reorder the terms
95n5=391
Covert the mixed number to an improper fraction
More Steps

Evaluate
391
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
93×9+1
Multiply the terms
927+1
Add the terms
928
95n5=928
Multiply by the reciprocal
95n5×59=928×59
Multiply
n5=928×59
Multiply
More Steps

Evaluate
928×59
Reduce the numbers
28×51
Multiply the numbers
528
n5=528
Take the 5-th root on both sides of the equation
5n5=5528
Calculate
n=5528
Solution
More Steps

Evaluate
5528
To take a root of a fraction,take the root of the numerator and denominator separately
55528
Multiply by the Conjugate
55×554528×554
Simplify
55×554528×5625
Multiply the numbers
More Steps

Evaluate
528×5625
The product of roots with the same index is equal to the root of the product
528×625
Calculate the product
517500
55×554517500
Multiply the numbers
More Steps

Evaluate
55×554
The product of roots with the same index is equal to the root of the product
55×54
Calculate the product
555
Reduce the index of the radical and exponent with 5
5
5517500
n=5517500
Alternative Form
n≈1.411359
Show Solution
