Rational Exponent Equations - Kuta Software

Kuta Software - Infinite Algebra 2

Name___________________________________

Rational Exponent Equations

Date________________ Period____

Solve each equation. 1) 27 = x

−

3) x

3 2

3 2

3 4

2) m = 27

1 = 729

5 4

5) v = 243

3 2

7) (n − 27) = 64

©8 I2J0n1T1m WKJujtzak 7SKoDfxtIw6arrdeF 8LILrCe.n T eAFlJlE nrZi8gOhotPsA xroecsveArEv3eNdm.6 W WMoaRd8ej CwYigtoho HIYnhfLiNn0i0tLe9 0AZlAgSecbtrXaH W2I.7

4) 7 = r

1 2

3 2

6) n = 125

8) 26 = −1 + (27 x)

-1-

3 4

Worksheet by Kuta Software LLC

9) 3125 = (−1 − 18 p)

−

11) 4b

3 4

5 3

−

10) 5 = 3 + 4a

1 6

3 2

21 + 10 = 2

12) − x = −27

13) −54 = 10 − (m − 10)

3 2

14) −5126 = −6 − 5(3 x + 22)

3

15) 9 + 5 2m = 29

16) 3646 = 1 + 5(4r + 17)

3 2

17) −646 = −3(65 − n) + 2

©k n2W0m1N1P pKKujtbaS cSNoxfGtcwSaOrceM rLiL1Ck.0 8 8AzlXll urbiYgrhAt2sO Cr2eUsWeur5vle8dA.f Y AMAaMdTeQ twWi8tihz 1IynGfGiTnTiJtBes fAjlegBexbWrOaL B2z.N

5 3

3 2

5 4

18) −3 + (8 − 2 x) = 29

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Rational Exponent Equations

Date________________ Period____

Solve each equation. 1) 27 = x

3 2

3 4

2) m = 27

{9 }

−

3) x

3 2

{81}

1 = 729

4) 7 = r

1 2

{49}

{81}

5 4

5) v = 243

3 2

6) n = 125

{81}

{25}

3 2

7) (n − 27) = 64

8) 26 = −1 + (27 x)

{43}

©d 92U0D1l1R IKfuktTaH FSHohfOtQwwazrLew JLcL0CN.n Z IAnlNlX 7rbi5gQhFtZsA er3eHs4e0rFvMeidW.s 1 NMwaHdweC NwKijtohH cIBn7fKi1naiHt7eJ dAhlNg3efbsrmaA k22.Y

3 4

{3 }

-1-

Worksheet by Kuta Software LLC

9) 3125 = (−1 − 18 p)

5 3

−

10) 5 = 3 + 4a

{−7}

−

11) 4b

3 4

1 6

{64}

3 2

21 + 10 = 2

12) − x = −27

{9 }

{16}

13) −54 = 10 − (m − 10)

3 2

14) −5126 = −6 − 5(3 x + 22)

{26}

5 3

{14}

3

15) 9 + 5 2m = 29

16) 3646 = 1 + 5(4r + 17)

{32}

3 2

{16}

3 2

17) −646 = −3(65 − n) + 2

5 4

18) −3 + (8 − 2 x) = 29

{29}

{−4}

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

©q m2u06141w rKGuBtHaA ySeoufft2wbaArHe6 TLBLiCD.G h uAUlilt hr3iignhatIsU Cr6emsSeLravveFdg.M 8 iMDa7dpeS 3wzixtyh1 BIAn6fTinnEiNtsef eAFl0gyexb0rGaI Z2K.c

-2-

Worksheet by Kuta Software LLC