Question
Solve the equation
p=1034300
Alternative Form
p≈1.626133
Evaluate
p2×10p=43
Multiply
More Steps

Evaluate
p2×10p
Multiply the terms with the same base by adding their exponents
p2+1×10
Add the numbers
p3×10
Use the commutative property to reorder the terms
10p3
10p3=43
Divide both sides
1010p3=1043
Divide the numbers
p3=1043
Take the 3-th root on both sides of the equation
3p3=31043
Calculate
p=31043
Solution
More Steps

Evaluate
31043
To take a root of a fraction,take the root of the numerator and denominator separately
310343
Multiply by the Conjugate
310×3102343×3102
Simplify
310×3102343×3100
Multiply the numbers
More Steps

Evaluate
343×3100
The product of roots with the same index is equal to the root of the product
343×100
Calculate the product
34300
310×310234300
Multiply the numbers
More Steps

Evaluate
310×3102
The product of roots with the same index is equal to the root of the product
310×102
Calculate the product
3103
Reduce the index of the radical and exponent with 3
10
1034300
p=1034300
Alternative Form
p≈1.626133
Show Solution
