Raising a Product to a Power — Definition & Examples
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- (Video) Products of Powers by MathWOEs Math WOEs has a great video with tons of examples of multiplying powers of the same base. Summary\large{\text{Summary}}Summary Now, what i…
By Ben Ferrara, Alex Federspiel, Amy Feraco, Joshua Siktar
- Raising a Product to a Power\textbf{Raising a Product to a Power}Raising a Product to a Power
By Caroline K · Português
- Raising a Product to a Power Let's do one more example. We are trying to expand (10x2)3.(10x^2)^3.(10x2)3. If we use the variables from the graphic, this means that x=10,y=x2,x=…
By Caroline K, Alex Federspiel
- Different Bases, Same Powers Sometimes, you will encounter a product of different bases, xxx and y,y,y, that are both raised to the same power, a.a.a. With the following propert…
By Caroline K, Jonathan Heller, Alex Federspiel, Joshua Siktar
Problems 34
- What is 3x8⋅2y83x^8\cdot 2y^83x8⋅2y8?
- What is t3⋅−8s3t^3\cdot -8s^3t3⋅−8s3?
- What is (fe)3⋅(ef)2(fe)^3\cdot (ef)^2(fe)3⋅(ef)2?
- What is (−1⋅d)48⋅(h)48(-1\cdot d)^{48}\cdot (h)^{48}(−1⋅d)48⋅(h)48?
- What is (xy)3(xy)^3(xy)3?
- What is (w−2⋅z)2(w^{-2}\cdot z)^2(w−2⋅z)2 if w,z≠0w,z\ne0w,z=0?
- What is (2⋅−1)3(2\cdot -1)^{3}(2⋅−1)3?
- What is (s⋅−3)4(s\cdot -3)^{4}(s⋅−3)4?
- What is (l⋅p2)3(l\cdot p^2)^3(l⋅p2)3?
- Simplify the following: (2x)5×(4)2(2x)^5\times(4)^2(2x)5×(4)2
- Simplify (4x)3.(4x)^3.(4x)3.
- Simplify the following expression: 6x2⋅(3y)26x^2\cdot(3y)^26x2⋅(3y)2
- Expand the following expression: (10a8b2)2(10a^8b^2)^2(10a8b2)2
- Expand the following expression: (2xy)3(2xy)^3(2xy)3
- Simplify the following expression: (2ab)2−a2b2(2ab)^2-a^2b^2(2ab)2−a2b2
- Simplify the following expression: (3x2y)2×2xy2(3x^2y)^2\times2xy^2(3x2y)2×2xy2
- Simplify the following expression: (2ab2)3×(a2b)2(2ab^2)^3\times(a^2b)^2(2ab2)3×(a2b)2
- Expand the following expression: (4a2b)2(4a^2b)^2(4a2b)2
- Expand the following expression: (2a−2b2)3(2a^{-2}b^2)^3(2a−2b2)3
- Expand the following expression: (3ab2c3)2(3ab^2c^3)^2(3ab2c3)2
- Simplify the following expression: (2ab)3(2ab)^3(2ab)3
- Simplify the following expression: (3a2b)2(3a^2b)^2(3a2b)2
- Simplify the following expression: (2ab2)3×(a2b)2(2ab^2)^3\times(a^2b)^2(2ab2)3×(a2b)2
- Simplify the following expression: (3ab3)2×(2a2b)3(3ab^3)^2\times(2a^2b)^3(3ab3)2×(2a2b)3
- Simplify the following expression: (10a4b3)2(10a^4b^3)^2(10a4b3)2
- Which of the following expressions is equivalent to (22×23)4(2^2\times2^3)^4(22×23)4?
- Which of the following expressions is equivalent to (32×33)5(3^2\times3^3)^5(32×33)5?
- Which of the following expressions is equivalent to (a4×a3)2(a^4\times a^3)^2(a4×a3)2?
- Simplify and combine like terms. (2x2)3×(xy)4(2x^2)^3\times(xy)^4(2x2)3×(xy)4
- Simplify and combine like terms. (2x2y)3×(xy)2(2x^2y)^3\times(xy)^2(2x2y)3×(xy)2
- Simplify and combine like terms. (24×32)3×22(2^4\times3^2)^3\times2^2(24×32)3×22
- Simplify and combine like terms. (42×53)2×(4×52)3(4^2\times5^3)^2\times(4\times5^2)^3(42×53)2×(4×52)3
- If (2×n)3=64(2\times n)^3=64(2×n)3=64, find the integer value of nnn.
- What is another way to write a2nbna^{2n}b^na2nbn?