6-1 Exponent Review Worksheet Simplify the expression. Write

6-1 Exponent Review Worksheet
Simplify the expression. Write using positive
exponents.
Solve for the value of y.
1. (−9)10 ∙ (−9)4
2.
12.
152 ∙159
𝑑 3𝑦
= 𝑑 3𝑥−𝑦
15−6
1 7
Evaluate the expression.
3. ( ) ∙ 517
5
4.
𝑑 3𝑥
13.(−2)5 − (−2)4
2−4
25 ( 3 )
2
2 4
1 2
14.( ) − ( )
3
9
Simplify the expression. Write using only
positive exponents.
5. (5𝑥 8 𝑦 5 )4
Find the missing value.
1
15. = 2?
6. [(𝑥𝑦)(𝑥 3 𝑦 5 )]2
4
?
16. = 3−1
7. (4𝑥 −3 𝑦 4 )−2
8. (𝑥 1/2 ∙ 𝑦
3
17.3 ∙ 4−2 =
1/4 2
)
?
6
𝑚7
9. ( 10 )
2𝑛
Evaluate.
18.[2−2 + (6 + 2)0 ]
20𝑥 3 𝑦 −4
10. (2𝑥 −4
3
𝑦 −1 )2
6 3
𝑥4
5
11. (− ) ∙ ( 7)
𝑥
3𝑦
_________________________________________________________________________
19.Find the values of x and y if you know
𝑏𝑥
𝑏𝑦
= 𝑏 5 and
𝑏𝑥+2
𝑏2𝑦
= 𝑏4
Tell whether the statement is true or false for all nonzero value of a and b.
20.
21.
𝑎−3
𝑏−4
𝑎−1
𝑏−1
=
=
1
𝑎
𝑏
𝑎