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# Exponent Rules - Distribution & Powers of Powers (Grade 9)

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## Exponent Rules - Distribution & Powers of Powers

Instructions: Assume all variables are positive.

1.
Simplify $(2r)^2$.
1. $2^2 + r^2$
2. $4r$
3. $4r^2$
4. $16$

2.
Simplify. $(2q^4)^3$
1. $8q^12$
2. $-8q^12$
3. $8q^7$
4. Cannot simplify
3.
Simplify the expression.
$((3x)/2)^4$
1. $81x^4//16$
2. $6x^4$
3. $12x^4//8$
4. $81x^4//2$

4.
Simplify. $((2v)/(3))^4$
1. $(16v^4)/(81)$
2. $(16)/(81v^4)$
3. $(16v^5)/(81)$
4. $(2v^4)/(3)$
5.
Simplify $(a/b)^6$.
1. $6ab$
2. $(6a)/(6b)$
3. $(ab)/6$
4. $a^6b^6$
5. $(a^6)/b^6$

6.
Simplify.
$(3m n^4)^3$
1. $9m^3 n^7$
2. $9m^4n^7$
3. $27m^4n^7$
4. $27m^3 n^12$
7.
Simplify.
$(-3x^4y^2)^3$
1. $-27x^12y^6$
2. $-27xy$
3. $-27x^7y^$
4. $-27x^7y^6$

8.
Simplify.
$(-4m^2n^3)^2$
1. $-4m^4n^5$
2. $-16m^4n^6$
3. $16m^4n^6$
4. $16m^2n^3$
9.
Simplify. $( 5x^3 y ^2) ^0$
1. $5x^3y^2$
2. 1
3. 0
4. 5

10.
Simplify:
$(x^3y^5)^3$
1. $x^6y^8$
2. $x^9y^15$
3. $1/(x^3y^5)$
4. $xy$
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