Question
Solve the equation
Solve for x
Solve for m
x=8mx=−8m
Evaluate
8x×8x×8=8m
Simplify
More Steps

Evaluate
8x×8x×8
Rewrite the expression in exponential form
83x×x
Multiply the terms
83x2
83x2=8m
Divide both sides
8383x2=838m
Divide the numbers
x2=838m
Divide the numbers
More Steps

Evaluate
838
Use the product rule aman=an−m to simplify the expression
83−11
Subtract the terms
821
x2=82m
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±82m
Simplify the expression
More Steps

Evaluate
82m
To take a root of a fraction,take the root of the numerator and denominator separately
82m
Simplify the radical expression
More Steps

Evaluate
82
Transform the expression
26
Reduce the index of the radical and exponent with 2
23
23m
x=±23m
Separate the equation into 2 possible cases
x=23mx=−23m
Calculate
x=8mx=−23m
Solution
x=8mx=−8m
Show Solution
