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# Simplifying Monomial Expressions

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## Simplifying Monomial Expressions Answer Key

Instructions: Simplify. Assume denominators do not equal zero.

1.
Simplify the expression $b^4 * b^2$.
1. $b^16$
2. $b^6$
3. $b^2$
4. $b^8$

2.
Simplify:
$b^5*b^4*b^2$
1. $b^10$
2. $b^40$
3. $b^11$
4. $b^12$
3.
Simplify.
$v^3*v^5*v^7*w^2*w^4$
1. $v^6w^15$
2. $v^15w^6$
3. $vw$
4. $v^10w^7$

4.
Simplify.
$(-3x^4y^2)^3$
1. $-27x^12y^6$
2. $-27xy$
3. $-27x^7y^$
4. $-27x^7y^6$
5.
$(-3x^2y^5)^2$
1. $9x^2y^10$
2. 9xy
3. $9x^4y$
4. $9x^4y^10$

6.
Simplify.
$x^30/x^-10$
1. $x^20$
2. $x^10$
3. $1/x^10$
4. $x^40$
7.
$(6x^5y^3)/ (16x^2y^5)$
• $(3x^3)/ (8y^2)$

8.
$m^12 -: m^3$
• $m^9$
9.
$3m^2(4m^3)^2$
• $48m^8$

10.
$(5x^3)^3*x*2x$
• $250x^11$
11.
$3x^3 * 4x^5 =$
• $12x^8$

12.
$[(p m^3)/q^6]^4$
• $(p^4m^12)/q^24$
13.
$3b^6*7b^6$
• $-28b^9$

14.
$(3y^7x^3)/(12yx^5)$
• $(y^6)/(4x^2)$
15.
$(x^12)/(4x^5)$
• $x^5/8$

16.
$5x^2*2x^4$
• $10x^6$
17.
$20x^24-:10x^6$
• $2x^18$

18.
$3x^4*5x^2$
• $15x^6$
19.
$7n^2*n*(4n^2)^3$
• $448n^9$

20.
$6x*(5x^4)^3$
• $750x^13$
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