Question
Simplify the expression
9p3−1
Evaluate
p3×9−1
Solution
9p3−1
Show Solution

Find the roots
p=333
Alternative Form
p≈0.48075
Evaluate
p3×9−1
To find the roots of the expression,set the expression equal to 0
p3×9−1=0
Use the commutative property to reorder the terms
9p3−1=0
Move the constant to the right-hand side and change its sign
9p3=0+1
Removing 0 doesn't change the value,so remove it from the expression
9p3=1
Divide both sides
99p3=91
Divide the numbers
p3=91
Take the 3-th root on both sides of the equation
3p3=391
Calculate
p=391
Solution
More Steps

Evaluate
391
To take a root of a fraction,take the root of the numerator and denominator separately
3931
Simplify the radical expression
391
Multiply by the Conjugate
39×392392
Simplify
39×392333
Multiply the numbers
More Steps

Evaluate
39×392
The product of roots with the same index is equal to the root of the product
39×92
Calculate the product
393
Transform the expression
336
Reduce the index of the radical and exponent with 3
32
32333
Reduce the fraction
More Steps

Evaluate
323
Use the product rule aman=an−m to simplify the expression
32−11
Subtract the terms
311
Simplify
31
333
p=333
Alternative Form
p≈0.48075
Show Solution
