Dividing Monomials - Process & Examples
Read this topicExplanations 3
- (Video) Multiplication and Division to Simplify Algebraic Expressions by Sums Made Easy This video by Sums Made Easy covers monomial multiplication and division. Summary\large{\…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Sarah Walker, Jonathan Heller
- Dividing Monomials When you multiply monomials, you multiply the coefficients and then add the exponents of the variables. To divide, you subtract the exponents. Let's look at a…
By Amy Feraco, Victor Wang, Sarah Walker, Alex Federspiel, Caroline K, Anusha Rahman, Jonathan Heller
- Dividing Monomials When dividing monomials, first divide the coefficients, then divide like variables using the exponent quotient rule. Let's do an example to practice! Practice…
By Caroline K, Jonathan Heller
Problems 22
- Simplify x×xyxy ×x×3x\times \frac{xy}{xy}\ \times x\times 3x×xyxy ×x×3 if xxx and yyy are nonzero.
- Simplify 6ab212ab\frac{6ab^2}{12ab}12ab6ab2 if aaa and bbb are nonzero.
- Simplify 9x3y2(3x2y)2 ×x\frac{9x^3y^2}{(3x^2y)^2}\ \times x(3x2y)29x3y2 ×x if xxx and yyy are nonzero.
- Simplify (168x2)÷(4x)(168x^2)\div(4x)(168x2)÷(4x) if xxx is nonzero.
- Simplify 39x×213x39x\times \frac{2}{13x}39x×13x2 if xxx is nonzero.
- Simplify 8a3b3c3d3×(12abcd)3÷12abcd8a^3b^3c^3d^3\times \left(\frac{1}{2abcd}\right)^3\div\frac{1}{2abcd}8a3b3c3d3×(2abcd1)3÷2abcd1 if all four variables are nonzero.
- Simplify (7⋅x⋅x⋅x⋅x)÷(14⋅x⋅x⋅x⋅x⋅x).(7\cdot x\cdot x\cdot x\cdot x)\div(14\cdot x\cdot x\cdot x\cdot x\cdot x).(7⋅x⋅x⋅x⋅x)÷(14⋅x⋅x⋅x⋅x⋅x).
- What is u2v−6÷v3u12{u^{2}v^{-6}}\div {v^{3}u^{12}}u2v−6÷v3u12, if u,v≠0u,v\ne0u,v=0?
- What is q−2p2(p3)2,\frac{q^{-2}p^{2}}{({p^{3}})^2},(p3)2q−2p2, if p,q≠0p,q\ne0p,q=0?
- If x,y≠0x,y\ne0x,y=0 and (x2y)5÷(y−1x3)2=xmyn(x^2y)^{5}\div(y^{-1}x^{3})^{2} = x^m y^n(x2y)5÷(y−1x3)2=xmyn, find 10m+n10m+n10m+n.
- Simplify the expression (3x2y4z4)(33x8y2z).(3x^2y^4z^4)(3^3x^8y^2z).(3x2y4z4)(33x8y2z).
- Simplify x22y5x35y49\frac{x^{22}y^{5}}{x^{35}y^{49}}x35y49x22y5 if x,y≠0x,y\ne0x,y=0.
- Simplify 29a11b9c2026a19b11c0\frac{2^9a^{11}b^{9}c^{20}}{2^{6}a^{19}b^{11}c^{0}}26a19b11c029a11b9c20 if a,b,c≠0a,b,c\ne0a,b,c=0.
- Simplify 24a7b14c1722a7b9c1224a13b17c1829a10b13c20\frac{\frac{2^4a^{7}b^{14}c^{17}}{2^{2}a^{7}b^{9}c^{12}}}{\frac{2^4a^{13}b^{17}c^{18}}{2^{9}a^{10}b^{13}c^{20}}}29a10b13c2024a1…
- Simplify ((3x−2y7)4(y−4z7)−1(x3y−2)−3(−2x−2y6z−2)3 )0\Bigg(\frac{(3x^{-2}y^7)^4(y^{-4}z^7)^{-1}}{(x^3y^{-2})^{-3}(-2x^{-2}y^6z^{-2})^3}\ \Bigg)^0((x3y−2)−3(−2x−2y6z−2)3(3x−2y7)4…
- If x,y,z≠0x,y,z\neq 0x,y,z=0, simplify ((3x−2y7)4(y−4z7)−1(x3y−2)−3(−2x−2y6z−2)3 )1.\Bigg(\frac{(3x^{-2}y^7)^4(y^{-4}z^7)^{-1}}{(x^3y^{-2})^{-3}(-2x^{-2}y^6z^{-2})^3}\ \Bigg)^1…
- For how many non-negative integers nnn is xnx^nxn a factor of x9x^9x9?
- For how many pairs of nonnegative integers m,nm,nm,n is xmynx^m y^nxmyn a factor of x2y3x^2 y^3x2y3?
- Simplify the following expression: 10a2b55ab7\frac{10a^2b^5}{5ab^7}5ab710a2b5 if both variables are nonzero.
- Simplify the following expression: 9a10b33a6b8×a2b5\frac{9a^{10}b^3}{3a^6b^8}\times a^2b^53a6b89a10b3×a2b5 if both variables are nonzero.
- Simplify the following: 8a7b412b2÷43a2\frac{8a^7 b^4}{12b^2}\div\frac{4}{3}a^212b28a7b4÷34a2
- Simplify the following: 2a2×b3÷a3ab2a^2 \times b^3 \div \frac{a^3}{ab}2a2×b3÷aba3