Math Practice Topic: Roots Of Exponential Expressions

Description: Understand the relationship between roots and exponents.

Adaptive Learning Progression: Builds knowledge with just numbers, then adds variables later.

Sample Levels (out of 3)

Simplify the given expression. Leave out any 1's as coefficients in front of variable expressions.

1.
5  5 10
 = 5
2.
8  4 32
 = 4
3.
8  2 24
 = 2
4.
   2 8
 = 2
5.
7  2 28
 = 2
6.
5  4 20
 = 4

Simplify the given expression. Leave out any 1's as coefficients in front of variable expressions.

1.
8  6 24
 =  
2.
   8 8
 =  
3.
4  4 8
 =  
4.
   6 4
 =  
5.
6  6 12
 =  
6.
3  3 12
 =  
7.
5  3 20
 =  
8.
7  8 21
 =  
9.
4  6 16
 =  
10.
5  6 20
 =  

Simplify the given expression. Leave out any 1's as coefficients in front of variable expressions.

1.
6  2 24x 48
 =  
2.
5  4 15x 25
 =  
3.
3  8 9x 15
 =  
4.
8  8 32x 64
 =  
5.
7  7 28x 56
 =  
6.
6  8 18x 54
 =  
7.
3  7 6x 30
 =  
8.
6  2 24x 48
 =  
9.
5  8 20x 50
 =  
10.
   3 8x 4
 =  

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