Raising a Quotient to a Power — Definition & Examples
Read this topicExplanations 6
- (Video) Applying the Rules of Exponents by PatrickJMT Here are some great, more complex problems of raising a quotient to a power from Patrick JMT. When raising a quotient or a …
By Ben Ferrara, Alex Federspiel, Amy Feraco, Caroline K, Joshua Siktar
- Fractions with Power! We saw integers raised to powers, but what about fractions? Well, fractions aren't much different. Remember that raising a number to a power means you mult…
By Alex Federspiel, Jonathan Heller, Caroline K, Joshua Siktar
- Raising a Quotient to a Power\textbf{Raising a Quotient to a Power}Raising a Quotient to a Power
By Caroline K · Português
- Raising a Quotient to a Power\textbf{Raising a Quotient to a Power}Raising a Quotient to a Power
By Caroline K · Português
- Raising a Quotient to a Power\textbf{Raising a Quotient to a Power}Raising a Quotient to a Power
By Caroline K · Português
- Raising a Quotient to a Power This image describes a common rule for exponents. It is used if we want to apply an exponent to an entire fraction. This means both its numerator a…
By Caroline K, Jonathan Heller, Alex Federspiel, Joshua Siktar
Problems 38
- Which of the following is equivalent to (56)2\left(\frac{5}{6}\right)^2(65)2? (There may be more than one answer.)
- What is (2xy)3\left(\frac{2x}{y}\right)^3(y2x)3?
- What is (326)2\left(\frac{3^2}{6}\right)^2(632)2?
- What is (zw⋅v)4\left(\frac{z}{w\cdot v}\right)^4(w⋅vz)4?
- What is (ts2q)3\left(\frac{ts}{2q}\right)^3(2qts)3?
- Evaluate (86)2\bigg(\frac{8}{6}\bigg)^{2}(68)2
- Evaluate (53)2\bigg(\frac{5}{3}\bigg)^{2}(35)2
- Evaluate (710)3\bigg(\frac{7}{10}\bigg)^{3}(107)3
- Evaluate (25)3\bigg(\frac{2}{5}\bigg)^{3}(52)3
- Evaluate (64)4\bigg(\frac{6}{4}\bigg)^{4}(46)4
- Evaluate (410)4\bigg(\frac{4}{10}\bigg)^{4}(104)4
- What is (12)10\left(\frac{1}{2}\right)^{10}(21)10?
- Simplify the following expression: (2x2y5)3\bigg(\frac{2x^2}{y^5}\bigg)^3(y52x2)3
- Simplify the following expression: (4xy3)2\bigg(\frac{4x}{y^3}\bigg)^2(y34x)2
- Simplify the following expression: (10x4y8)2\bigg(\frac{10x^4}{y^8}\bigg)^2(y810x4)2
- Simplify the following expression: (3x24y)2\bigg(\frac{3x^2}{4y}\bigg)^2(4y3x2)2
- Simplify the following expression: (2x2y3z2)2\bigg(\frac{2x^2}{y^3z^2}\bigg)^2(y3z22x2)2
- Simplify and combine like terms: (ab2)2×(ba)3\bigg(\frac{a}{b^2}\bigg)^2\times\bigg(\frac{b}{a}\bigg)^3(b2a)2×(ab)3
- Simplify and combine like terms: (ab3)2×a4\bigg(\frac{a}{b^3}\bigg)^2\times a^4(b3a)2×a4
- Simplify and combine like terms: (a6b2)3×b10\bigg(\frac{a^6}{b^2}\bigg)^3\times b^{10}(b2a6)3×b10
- What is the value of (23)3\big(\frac{2}{3}\big)^3(32)3?
- What is the value of (−13)2\big(\frac{-1}{3}\big)^2(3−1)2?
- What is the value of (−34)2\big(\frac{-3}{4}\big)^2(4−3)2?
- Simplify and combine like terms: (2abc2d)2×(4cb2d3)3\bigg(\frac{2ab}{c^2d}\bigg)^2\times\bigg(\frac{4cb^2}{d^3}\bigg)^3(c2d2ab)2×(d34cb2)3
- Simplify and combine like terms: (3a2bcd2)2×(2b3ad2)2\bigg(\frac{3a^2}{bcd^2}\bigg)^2\times\bigg(\frac{2b^3}{ad^2}\bigg)^2(bcd23a2)2×(ad22b3)2
- Simplify and combine like terms: (5a2b2c3d)2×(3abcd4)2\bigg(\frac{5a^2b^2}{c^3d}\bigg)^2\times\bigg(\frac{3abc}{d^4}\bigg)^2(c3d5a2b2)2×(d43abc)2
- Simplify and combine like terms: (2ab2c3d2e4)2×(3a3bdc2e5)3\bigg(\frac{2ab^2c^3}{d^2e^4}\bigg)^2\times\bigg(\frac{3a^3bd}{c^2e^5}\bigg)^3(d2e42ab2c3)2×(c2e53a3bd)3
- What is (38)3\left(\frac38\right)^3(83)3?
- What is (32)4\left(\frac32\right)^4(23)4?
- What is (113)2\left(\frac1{13}\right)^2(131)2?
- What is (23)2\left(\frac23\right)^2(32)2?
- What is (ab)2\left(\frac ab\right)^2(ba)2?
- What is (53)3\left(\frac53\right)^3(35)3?
- What is (128256)8\left(\frac{128}{256}\right)^8(256128)8?
- What is (3218)2\left(\frac{32}{18}\right)^2(1832)2?
- What is (45)4\left(\frac45\right)^4(54)4?
- What is (37)−2\left(\frac37\right)^{-2}(73)−2?
- What is (14)−5\left(\frac14\right)^{-5}(41)−5?