Question
Solve the equation
x=27608
Alternative Form
x≈1.249311
Evaluate
2x5×2x2=19
Multiply
More Steps

Evaluate
2x5×2x2
Multiply the terms
4x5×x2
Multiply the terms with the same base by adding their exponents
4x5+2
Add the numbers
4x7
4x7=19
Divide both sides
44x7=419
Divide the numbers
x7=419
Take the 7-th root on both sides of the equation
7x7=7419
Calculate
x=7419
Solution
More Steps

Evaluate
7419
To take a root of a fraction,take the root of the numerator and denominator separately
74719
Multiply by the Conjugate
74×746719×746
Simplify
74×746719×2732
Multiply the numbers
More Steps

Evaluate
719×2732
Multiply the terms
7608×2
Use the commutative property to reorder the terms
27608
74×74627608
Multiply the numbers
More Steps

Evaluate
74×746
The product of roots with the same index is equal to the root of the product
74×46
Calculate the product
747
Transform the expression
7214
Reduce the index of the radical and exponent with 7
22
2227608
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
27608
x=27608
Alternative Form
x≈1.249311
Show Solution
