Question
Solve the equation
x=203350
Alternative Form
x≈0.552605
Evaluate
216=4x2×20x×16
Multiply
More Steps

Evaluate
4x2×20x×16
Multiply the terms
More Steps

Evaluate
4×20×16
Multiply the terms
80×16
Multiply the numbers
1280
1280x2×x
Multiply the terms with the same base by adding their exponents
1280x2+1
Add the numbers
1280x3
216=1280x3
Swap the sides of the equation
1280x3=216
Divide both sides
12801280x3=1280216
Divide the numbers
x3=1280216
Cancel out the common factor 8
x3=16027
Take the 3-th root on both sides of the equation
3x3=316027
Calculate
x=316027
Solution
More Steps

Evaluate
316027
To take a root of a fraction,take the root of the numerator and denominator separately
3160327
Simplify the radical expression
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
31603
Simplify the radical expression
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Evaluate
3160
Write the expression as a product where the root of one of the factors can be evaluated
38×20
Write the number in exponential form with the base of 2
323×20
The root of a product is equal to the product of the roots of each factor
323×320
Reduce the index of the radical and exponent with 3
2320
23203
Multiply by the Conjugate
2320×320233202
Simplify
2320×32023×2350
Multiply the numbers
2320×32026350
Multiply the numbers
More Steps

Evaluate
2320×3202
Multiply the terms
2×20
Multiply the terms
40
406350
Cancel out the common factor 2
203350
x=203350
Alternative Form
x≈0.552605
Show Solution
