Question
Solve the equation
x=2326
Alternative Form
x≈1.481248
Evaluate
91=21x×7(x×x×8)
Remove the parentheses
91=21x×7x×x×8
Simplify
More Steps

Evaluate
21x×7x×x×8
Rewrite the expression in exponential form
21x3×7×8
Multiply the terms
More Steps

Evaluate
21×7×8
Multiply the numbers
27×8
Reduce the numbers
7×4
Multiply the numbers
28
28x3
91=28x3
Swap the sides of the equation
28x3=91
Divide both sides
2828x3=2891
Divide the numbers
x3=2891
Cancel out the common factor 7
x3=413
Take the 3-th root on both sides of the equation
3x3=3413
Calculate
x=3413
Solution
More Steps

Evaluate
3413
To take a root of a fraction,take the root of the numerator and denominator separately
34313
Multiply by the Conjugate
34×342313×342
Simplify
34×342313×232
Multiply the numbers
More Steps

Evaluate
313×232
Multiply the terms
326×2
Use the commutative property to reorder the terms
2326
34×3422326
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222326
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2326
x=2326
Alternative Form
x≈1.481248
Show Solution
