Question
Solve the equation
x=145192080
Alternative Form
x≈0.813895
Evaluate
1×15=x2×3x2×2x×7
Any expression multiplied by 1 remains the same
15=x2×3x2×2x×7
Multiply
More Steps

Evaluate
x2×3x2×2x×7
Multiply the terms with the same base by adding their exponents
x2+2+1×3×2×7
Add the numbers
x5×3×2×7
Multiply the terms
More Steps

Evaluate
3×2×7
Multiply the terms
6×7
Multiply the numbers
42
x5×42
Use the commutative property to reorder the terms
42x5
15=42x5
Swap the sides of the equation
42x5=15
Divide both sides
4242x5=4215
Divide the numbers
x5=4215
Cancel out the common factor 3
x5=145
Take the 5-th root on both sides of the equation
5x5=5145
Calculate
x=5145
Solution
More Steps

Evaluate
5145
To take a root of a fraction,take the root of the numerator and denominator separately
51455
Multiply by the Conjugate
514×514455×5144
Simplify
514×514455×538416
Multiply the numbers
More Steps

Evaluate
55×538416
The product of roots with the same index is equal to the root of the product
55×38416
Calculate the product
5192080
514×51445192080
Multiply the numbers
More Steps

Evaluate
514×5144
The product of roots with the same index is equal to the root of the product
514×144
Calculate the product
5145
Reduce the index of the radical and exponent with 5
14
145192080
x=145192080
Alternative Form
x≈0.813895
Show Solution
