4-1 Equations with fractional exponents

Equations with fractional exponents

Open Ended

How are you feeling today? (Just enter the number that fits)

When we put a power on a power, the exponents mutiply

To cancel out an exponent that's a fraction, raise it to the reciprocal of the exponent.

Multiple Choice

What power would work to cancel the exponent?

( x^2/3 )^? = x¹

• 2/3

• -2/3

• -3/2

• 3/2

Multiple Choice

What power would cancel this exponent?

( x^5/4 )^? = x¹

• 4/5

• -4/5

• -5/4

• 5/4

We can use that fact to solve an equation with this ugly exponent.

Put a 3/5 power on both sides

The exponents cancel. Now use your calculator.

Solved!

Multiple Choice

What power would you put on both sides to solve the equation?

 $x^{\frac{1}{3}}\ =\ 18$  

• 3/1

• -3/1

• 1/3

• -1/3

Multiple Choice

Finish solving!

 $\ \ \ \ \ \ \ x^1=\ 32^{\frac{3}{5}}$   

 $\ \ \ \ \ \ \ x\ =\$  

• 6

• 8

• 54

• 5832

Multiple Choice

Solve the equation

 $x^{\frac{3}{2}}\ =\ 64$  

• 4
  

• 16

• 32

• 512

Multiple Choice

Solve the equation


 $x^{\frac{7}{3}\ }=\ 128$   

• 8
  

• 16

• 512

• 82570

To solve this, we just need to -11 on both sides first, then use exponents to solve.

Multiple Choice

Solve 

 $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x^{\frac{2}{3}}+11\ =15$  

• 2

• 4

• 8

• 32

Poll

Rate the Quizizz experience for you from 1 - 5

1: worthless

3: okay, I learned something

5: awesome

• 1

• 2

• 3

• 4

• 5