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)

Find the exponent.

1.
5  4 15
= 4
2.
3  4 6
= 4
3.
6  4 18
= 4
4.
7  5 28
= 5
5.
7  5 28
= 5
6.
5  5 15
= 5

Find the value of the given expression.

1.
6  5 24
=  
2.
5  7 15
=  
3.
3  6 9
=  
4.
8  4 24
=  
5.
7  7 14
=  
6.
3  2 12
=  
7.
3  7 9
=  
8.
3  2 9
=  
9.
   3 6
=  
10.
5  7 10
=  

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

1.
4  4 16x 20
=  
2.
4  4 16x 28
=  
3.
6  4 24x 18
=  
4.
4  7 16x 32
=  
5.
3  2 6x 18
=  
6.
6  7 18x 30
=  
7.
4  4 16x 28
=  
8.
4  2 16x 12
=  
9.
7  8 21x 35
=  
10.
3  7 6x 27
=  

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