Question
Solve the equation
p=2524
Alternative Form
p≈0.944088
Evaluate
4p5=3
Divide both sides
44p5=43
Divide the numbers
p5=43
Take the 5-th root on both sides of the equation
5p5=543
Calculate
p=543
Solution
More Steps

Evaluate
543
To take a root of a fraction,take the root of the numerator and denominator separately
5453
Multiply by the Conjugate
54×54453×544
Simplify
54×54453×258
Multiply the numbers
More Steps

Evaluate
53×258
Multiply the terms
524×2
Use the commutative property to reorder the terms
2524
54×5442524
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
222524
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2524
p=2524
Alternative Form
p≈0.944088
Show Solution
