Question
Solve the equation
p=3390
Alternative Form
p≈1.493802
Evaluate
20=2p2×3p
Multiply
More Steps

Evaluate
2p2×3p
Multiply the terms
6p2×p
Multiply the terms with the same base by adding their exponents
6p2+1
Add the numbers
6p3
20=6p3
Swap the sides of the equation
6p3=20
Divide both sides
66p3=620
Divide the numbers
p3=620
Cancel out the common factor 2
p3=310
Take the 3-th root on both sides of the equation
3p3=3310
Calculate
p=3310
Solution
More Steps

Evaluate
3310
To take a root of a fraction,take the root of the numerator and denominator separately
33310
Multiply by the Conjugate
33×332310×332
Simplify
33×332310×39
Multiply the numbers
More Steps

Evaluate
310×39
The product of roots with the same index is equal to the root of the product
310×9
Calculate the product
390
33×332390
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3390
p=3390
Alternative Form
p≈1.493802
Show Solution
