Homework Help

# solve x^3/2 = 1/8rewrite RHS (right hand side) in index form and equate powers

Student

Salutatorian

• Up
• 0
• Down

solve x^3/2 = 1/8

rewrite RHS (right hand side) in index form and equate powers

Posted by polly123456 on August 15, 2011 at 7:12 PM via web and tagged with /, 1, 2, 3, 8, =, and, equate, form, hand, in, index, math, maths, powers, rewrite, rhs, right, side, solve, x, ^

College Teacher

Valedictorian

• Up
• 1
• Down

It is not clear if x is raised to the power (3/2) or the power of x is just 3.

We'll consider that the power of x is 3/2.

We'll use the standard index form to re-write the power from the right side:

1/8 = 1/`2^(3)` = `2^(-3)`

Now, we'll re-write the equation:

`x^((3/2))` = `2^(-3)`

We'll raise both sides to the power (2/3), to remove the power of x from the left side:

`x^((3/2)*(2/3))` = `2^(-3*(2/3))`

x = `2^(-2)`

x = 1/`2^(2)`

x = 1/4

The requested solution of the equation is x = 1/4.

Posted by giorgiana1976 on August 15, 2011 at 7:28 PM (Answer #1)