Radicals-simplifying and rational exponents

Simplifying Expressions

100

 Simplify -(9x)⁰   

-1

200

 Simplify (-8)^5/3

32i

300

Simplify x²y⁶/xy⁴

xy²

400

x^1/3*x^1/4=?

x^7/12

500

(4x⁵y/16xy⁴)³

1/64x¹²1/y⁹

Name that power!

100

Solve for a

2³*2⁵=2^a

a=8

200

Solve for x

4³/4²=4^x

x=1

300

Solve for t

5³*t³=50³

t=10

400

(7ⁿ)⁴=7²⁰

7⁵

500

 Find x and S: 2⁴*3⁴=x^s

6⁴

FOIL

100

square root of x(4-3 square root of x)

4 square root of x - 3x

200

(3 square root of 2 + 4 square root of 3)(3 square root of 2 - 4 square root of 3)

-30

300

(square root of 2x + 3)(3 square root of x - 4 square root of x)

3x square root of 2

400

(2 square root of x +1)(3-4 square root of x)

3+2 square root of x - 8x

500

(cubed root of x + 2 cubed root of x²)(4- cubed root of x²)

4 cubed root of x + 8 cubed root of x² - 2x cubed root of x

Rationalizing

100

2/square root of x

2 square root of 2/ x

200

5/ square root of 3 -1

5 square root of 3

300

 Rationalize √27/√12

3/2

400

6/ 3+√7

9-3√7

500

3/2-√2

6+3√2/2

Grab Bag!

100

What's 2^-4?

1/16

200

Simplify 5⁴/5^-2

5⁶

300

(x+Square root of 10)(x+Square root of 2)

x²+( x Square root of 10+x Square root of 2)+Square root of 20

400

3/(square root of 5) -2

(3 square root of 5)+6

500

Rationalize the expression 3/√y-1 

3(√y+1)/y-1