Question
Solve the equation
Solve for x
Solve for a
x=0x=5958a
Evaluate
x6×1×x4×5=xa
Multiply the terms
More Steps

Evaluate
x6×1×x4×5
Rewrite the expression
x6×x4×5
Multiply the terms with the same base by adding their exponents
x6+4×5
Add the numbers
x10×5
Use the commutative property to reorder the terms
5x10
5x10=xa
Rewrite the expression
5x10=ax
Add or subtract both sides
5x10−ax=0
Factor the expression
x(5x9−a)=0
Separate the equation into 2 possible cases
x=05x9−a=0
Solution
More Steps

Evaluate
5x9−a=0
Move the expression to the right-hand side and change its sign
5x9=0+a
Add the terms
5x9=a
Divide both sides
55x9=5a
Divide the numbers
x9=5a
Take the 9-th root on both sides of the equation
9x9=95a
Calculate
x=95a
Simplify the root
More Steps

Evaluate
95a
To take a root of a fraction,take the root of the numerator and denominator separately
959a
Multiply by the Conjugate
95×9589a×958
Calculate
59a×958
Calculate
5958a
x=5958a
x=0x=5958a
Show Solution
