Aim: How do we solve equations with fractional or negative exponents?

Slides:

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Presentation transcript:

Aim: How do we solve equations with fractional or negative exponents? Do Now: Simplify the following 1. 2. 3. 4. Solve for x: HW: p.305 # 4,6,8,10,12,14,18,20

We can use the ordinary method to isolate the variable with fractional or negative exponent from the rest, then solve for the variable. Divide both sides by 2 Simplify Multiply the reciprocal of the exponent on both sides Multiply the exponents

Solve for x: Divide both sides by 15 Simplify Multiply the reciprocal of the exponent on both sides Simplify Change the exponent to positive

Solve for x: Subtract 1 on both sides Multiply the reciprocal of the exponent on both sides Simplify

Solve for x: Change the radical to a power Multiply the reciprocal of the exponent Simplify Simplify

Solve for x: Move –1 to the right Divide both sides by 2 Raise both sides to the power that is the reciprocal of the exponent of the variable simplify

Solve for x:

1. Solve for x: 16 2. Solve for x: 8 3. Solve for x: 125