Question
Solve the equation
h=4402725×44026
Alternative Form
h≈0.477732
Evaluate
−71h2×1×h×93h3×2h=−75
Multiply the terms
More Steps

Evaluate
−71h2×1×h×93h3×2h
Rewrite the expression
−71h2×h×93h3×2h
Multiply the terms
More Steps

Evaluate
71×93×2
Multiply the terms
6603×2
Multiply the numbers
13206
−13206h2×h×h3×h
Multiply the terms with the same base by adding their exponents
−13206h2+1+3+1
Add the numbers
−13206h7
−13206h7=−75
Change the signs on both sides of the equation
13206h7=75
Divide both sides
1320613206h7=1320675
Divide the numbers
h7=1320675
Cancel out the common factor 3
h7=440225
Take the 7-th root on both sides of the equation
7h7=7440225
Calculate
h=7440225
Solution
More Steps

Evaluate
7440225
To take a root of a fraction,take the root of the numerator and denominator separately
74402725
Multiply by the Conjugate
74402×744026725×744026
The product of roots with the same index is equal to the root of the product
74402×744026725×44026
Multiply the numbers
More Steps

Evaluate
74402×744026
The product of roots with the same index is equal to the root of the product
74402×44026
Calculate the product
744027
Reduce the index of the radical and exponent with 7
4402
4402725×44026
h=4402725×44026
Alternative Form
h≈0.477732
Show Solution
