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WDYN!-ln07-1un01N3CS21-Exponents & Stuff!

Total questions: 16

Worksheet time: 16mins

Name
Class
Date
1.

 6÷ 12=6÷\ \frac{1}{2}=  

a)

 6÷26÷2  

b)

 22  

c)

 6×216\times\frac{2}{1}  

d)

 6×316\times\frac{3}{1}  

2.

For any real number 'x',

 x0=x^0=  

a)

its opposite

b)

all real numbers

c)

1

d)

0

3.

 3⌈5(36÷12)⌉=3\lceil5\left(36\div12\right)\rceil=  

(a)  

4.

 (2x3⋅2x3⋅2x3⋅......)\left(2x^3\cdot2x^3\cdot2x^3\cdot......\right)  If  2x32x^3  is multiplied by itself 8 times, we can express this repeated multiplication as

a)

 (2x3)7\left(2x^3\right)^7  

b)

 64x364x^3  

c)

 (2x3)8\left(2x^3\right)^8  

d)

 (8x3)8\left(8x^3\right)^8  

5.

For any real number 'x' and integer exponents 'm' and 'n',

 xm⋅xn=x^m\cdot x^n=  

a)

 xmnx^{mn}  

b)

 2xmn2x^{mn}  

c)

 x(m+n)x^{\left(m+n\right)}  

d)

 2x(m+n)2x^{\left(m+n\right)}  

6.

Evaluate

 4u24u^2  where  u=5u=5  



(a)  

7.

Choose all the expressions equivalent to 915⋅19159^{15}\cdot\frac{1}{9^{15}}  


a)

 9309^{30}  

b)

 00  

c)

 915−159^{15-15}  

d)

 11  

8.

For any non-zero real number 'x' and integer 'n', x−n=x^{-n}=  


a)

 xnx^n  

b)

 1xn\frac{1}{x^n}  

c)

 1x−n\frac{1}{x^{-n}}  

d)

 n−xn^{-x}  

9.

 (−2)(−3)(4)=\left(-2\right)\left(-3\right)\left(4\right)=  

(a)  

10.

 (x3)0=\left(x^3\right)^0=  

a)

 x3+0x^{3+0}  

b)

 x3×0x^{3\times0}  

c)

 x30x^{30}  

d)

 00  

11.

 6−(−3)=6-\left(-3\right)=  

(a)  

12.

 (xm)n=\left(x^m\right)^n=  ; choose all that apply.

a)

 xmnx^{m^n}  

b)

 x(m+n)x^{\left(m+n\right)}  

c)

 xmnx^{mn}  

d)

 xm⋅nx^{m\cdot n}  

13.

Evaluate 8m+1b\frac{8m+1}{b}  where m=3 and b=5




(a)  

14.

Choose all the expressions equivalent to 64⋅366^4\cdot36  


a)

 2164216^4  

b)

 666^6  

c)

 686^8  

d)

 64⋅626^4\cdot6^2  

15.

Evaluate 3(n−1)23\left(n-1\right)^2  where n = 10




(a)  

16.

A ball dropped from a height 'x' bounces ⅖ of the height. Choose the expression that expresses the distance traveled by the ball after the 5th bounce.

a)

2⋅25⋅5x2\cdot\frac{2}{5}\cdot5x

b)

25⋅(25)5⋅5x52^5\cdot\left(\frac{2}{5}\right)^5\cdot5x^5

c)

2⋅(25)5x2\cdot\left(\frac{2}{5}\right)^5x

d)

2⋅(25)x52\cdot\left(\frac{2}{5}\right)x^5