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11AASL Chapter 1A: Laws of Exponents

Total questions: 12

Worksheet time: 10mins

Name
Class
Date
1.

Simplify x6 ×x3 x^{6\ }\times x^{3\ }  

a)

x9 x^{9\ }  

b)

x3x^3  

c)

2x92x^9  

d)

x18x^{18}  

2.

Simplify y8y2\frac{y^8}{y^2}  

a)

y4y^4  

b)

y6y^6  

c)

2y62y^6  

d)

0y40y^4  

3.

Simplify (73)5\left(7^3\right)^5  

a)

(75)3\left(7^5\right)^3  

b)

727^{-2}  

c)

787^8  

d)

7157^{15}  

4.

Simplify 2b3×7b42b^3\times7b^4  

a)

9b79b^7  

b)

14b1214b^{12}  

c)

14b714b^7   

d)

9b129b^{12}  

5.

Simplify 6c92c4\frac{6c^9}{2c^4}  

a)

3c53c^5  

b)

3c2.253c^{2.25}  

c)

4c54c^5  

d)

12c512c^5  

6.

Write 242^{-4}  as a fraction in its simplest terms

a)

024\frac{0}{2^4}  

b)

124\frac{1}{2^4}  

c)

124\frac{1}{2^{-4}}  

d)

224\frac{2}{2^4}  

7.

Write 4x34x^{-3}  as a fraction in its simplest terms

a)

4x3\frac{4}{x^3}  

b)

14x3\frac{1}{4x^3}  

c)

4x3\frac{4}{x^{-3}}  

d)

224\frac{2}{2^4}  

8.

Simplify (2x2y4)5\left(2x^2y^{-4}\right)^5  

a)

25x2y4\frac{2^5x^2}{y^4}  

b)

25x7y92^5x^7y^{-9}  

c)

25x10y20\frac{2^5x^{10}}{y^{20}}  

d)

32x10y20\frac{32x^{10}}{y^{-20}}  

9.

Simplify (2u3v2)3\left(\frac{2u}{3v^2}\right)^{-3}  

a)

33v623u3\frac{3^3v^6}{2^3u^3}  

b)

23u333v6\frac{2^{-3}u^{-3}}{3^{-3}v^6}  

c)

123u333v6\frac{1}{2^3u^33^3v^6}  

d)

123u33v2\frac{1}{2^3u^33v^2}  

10.

Simplify 16a5b212ab44ab2\frac{16a^5b^2-12ab^4}{4ab^2}  

a)

4a412ab44a^4-12ab^4  

b)

4a43b24a^4-3b^2  

c)

4a4b24ab2\frac{4a^4b^{-2}}{4ab^2}  

d)

a3b4a^3b^{-4}  

11.

Express 34×953^4\times9^5  in the form 3k3^k   for some integer kk  

a)

393^9   

b)

3143^{14}  

c)

  3163^{16}  

d)

I don't know how to do this style of question yet  

12.

Solve 2(x+6)=8x2^{\left(x+6\right)}=8^x  

a)

x=1x=1  

b)

x=2x=2  

c)

x=3x=3  

d)

I don't know how to do this style of question yet