Math Practice Online > free > lessons > Florida > 9th grade > Roots Of Exponential Expressions

These sample problems below for Roots Of Exponential Expressions were generated by the MathScore.com engine.

## Sample Problems For Roots Of Exponential Expressions

### Complexity=5, Mode=exponent

Find the exponent.
1.
 5  4 20
= 4
2.
 7  4 21
= 4

### Complexity=8, Mode=value

Find the value of the given expression.
1.
 8  4 16
=
2.
 8  3 24
=

### Complexity=8, Mode=variable

Simplify the given expression. Use '^' to indicate 'to the power of' and omit any 1's as coefficients in front of variable expressions.
1.
 7  8 14x 35
=
2.
 6  5 24x 60
=

### Complexity=5, Mode=exponent

Find the exponent.
1
 5  4 20
= 4
Solution
 5  4 20
= (420) (1/5) = 4(20 * 1/5) = 4( 20/5) = 44
2
 7  4 21
= 4
Solution
 7  4 21
= (421) (1/7) = 4(21 * 1/7) = 4( 21/7) = 43

### Complexity=8, Mode=value

Find the value of the given expression.
1
 8  4 16
=
Solution
 8  4 16
= (416) (1/8) = 4(16 * 1/8) = 4( 16/8) = 42 = 16
2
 8  3 24
=
Solution
 8  3 24
= (324) (1/8) = 3(24 * 1/8) = 3( 24/8) = 33 = 27

### Complexity=8, Mode=variable

Simplify the given expression. Use '^' to indicate 'to the power of' and omit any 1's as coefficients in front of variable expressions.
1
 7  8 14x 35
=
Solution
 7  8 14x 35
= (8 14x 35)(1/7) = 8(14 * 1/7) x(35 * 1/7) = 8(14/7) x(35/7) = 82x5 = 64x 5
2
 6  5 24x 60
=
Solution
 6  5 24x 60
= (5 24x 60)(1/6) = 5(24 * 1/6) x(60 * 1/6) = 5(24/6) x(60/6) = 54x10 = 625x 10

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