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# Exponent Rules - Quotient Rule (Grade 9)

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## Exponent Rules - Quotient Rule

Instructions: Assume all variables are positive. Express answers with positive exponents.

1.
Simplify: $(x^10)/(8x^5).$
1. $(x^5)/8$
2. $(1)/(8x^5)$
3. $8x^5$
4. $(8)/(x^5)$

2.
Simplify. $(a)/(b^2) * (b^3)/(a)$
1. $a^2b^5$
2. $a^0b^1$
3. $b$
4. $b^3$
3.
$(32a^4b^2)/(8a^3b^2)$
1. $4ab^0$
2. $4a$
3. $(4)/(16ab^4)$
4. $4ab^4$

4.
Simplify.
$(9 x^4 y ^5)/(6 x^2y^10)$
1. $(9 x^2 y^5)/(6)$
2. $(3x^2y^5)/(2)$
3. $(3 x^2)/(2y^5)$
4. $(3x^2 )/(2y^-5)$
5.
Simplify. $(64x^5)/(4x^2)$

6.
Simplify.
$(36d^10)/(6d^5)$

7.
Simplify. $(m^3 n^-2)/(m^2 n^4)$

8.
Simplify:

$(x^6y^9z^8)/(x^2y^3)$

9.
Divide: $(x^5y^3z^2)/(x^3y^2z)$

10.
Simplify. $(a^3 b c^6) / (a^0 b^3 c^2)$

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