Question
Solve the equation
x1=−2645,x2=2645
Alternative Form
x1≈−0.942986,x2≈0.942986
Evaluate
8x×16x5=90
Multiply
More Steps

Evaluate
8x×16x5
Multiply the terms
128x×x5
Multiply the terms with the same base by adding their exponents
128x1+5
Add the numbers
128x6
128x6=90
Divide both sides
128128x6=12890
Divide the numbers
x6=12890
Cancel out the common factor 2
x6=6445
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±66445
Simplify the expression
More Steps

Evaluate
66445
To take a root of a fraction,take the root of the numerator and denominator separately
664645
Simplify the radical expression
More Steps

Evaluate
664
Write the number in exponential form with the base of 2
626
Reduce the index of the radical and exponent with 6
2
2645
x=±2645
Separate the equation into 2 possible cases
x=2645x=−2645
Solution
x1=−2645,x2=2645
Alternative Form
x1≈−0.942986,x2≈0.942986
Show Solution
