Review the following concepts if needed:

- Exponents and Roots Help
- Adding/Subtracting Fractions with Variables and Exponents Help
- Multiplying/Dividing with Exponents Help
- Roots Help
- Roots Expressed as Exponents Help

**Algebra Exponents and Roots Practice Test**

(a) (6 *x* + 5) ^{5} (b) 6 *x* + 5 (c) (6 *x* + 5) ^{–1} (d) (6 *x* + 5) ^{6}

**2** . ((10 *x* ) ^{4} ) ^{7} =

(a) (10 *x* ) ^{28} (b) 10 *x* ^{28} (c) (10 *x* ) ^{11} (d) 10 *x* ^{11}

**3** . ( *xy* ) ^{2} ( *xy* ) ^{9} =

(a) *xy* ^{11} (b) ( *xy* ) ^{18} (c) ( *xy* ) ^{11} (d) *xy* ^{18}

(a) ( *x* + 100) ^{4} (b) *x* ^{–4} + 100 ^{–4} (c) –( *x* + 100) ^{4} (d) ( *x* + 100) ^{–4}

**14** . (3 *x* ^{2} y ^{4} ) ^{3} =

(a) 3 *x* ^{5} y ^{7} (b) 3 *x* ^{6} y ^{12} (c) 9 *x* ^{5} y ^{7} (d) 27 *x* ^{6} y ^{12}

**15** . (–6 *x* ) ^{2} =

(a) 36 *x* ^{2} (b) –36 *x* ^{2} (c) 6 *x* ^{2} (d) –6 *x* ^{2}

**16** . (–x ^{5} )=

(a) –x ^{5} (b) *x* ^{–1/5} (c) *x* ^{–5} (d) *x* ^{1/5}

**22** . *x* ^{4} *x* ^{5} =

(a) *x* ^{–1} (b) *x* (c) *x* ^{9} (d) *x* ^{20}

**26** . 5y ^{4} (3y ^{3} ) ^{2} =

(a) 15y ^{10} (b) 45y ^{10} (c) 15y ^{9} (d) 45y ^{9}

**Solutions**

**1** . (b)

**2** . (a)

**3** . (c)

**4** . (c)

**5** . (d)

**6** . (a)

**7** . (b)

**8** . (c)

**9** . (a)

**10** . (c)

**11** . (a)

**12** . (b)

**13** . (a)

**14** . (d)

**15** . (a)

**16** . (a)

**17** . (b)

**18** . (a)

**19** . (c)

**20** . (b)

**21** . (a)

**22** . (c)

**23** . (d)

**24** . (b)

**25** . (c)

**26** . (b)

**27** . (a)

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