Question
Solve the equation
p=232
Alternative Form
p≈0.629961
Evaluate
p2×4p=1
Multiply
More Steps

Evaluate
p2×4p
Multiply the terms with the same base by adding their exponents
p2+1×4
Add the numbers
p3×4
Use the commutative property to reorder the terms
4p3
4p3=1
Divide both sides
44p3=41
Divide the numbers
p3=41
Take the 3-th root on both sides of the equation
3p3=341
Calculate
p=341
Solution
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22232
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
232
p=232
Alternative Form
p≈0.629961
Show Solution
