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G8 T1 Unit 1 Revision I (Simplifying Exponents)

Total questions: 15

Worksheet time: 16mins

Name
Class
Date
1.

Use exponents to write the expression p⋅p⋅r⋅r⋅r⋅r⋅n⋅n⋅n

a)

(prn)9

b)

p4r3n2

c)

p2r4n3

d)

p3r4n2

2.

Use exponents to write the expression (-7) ⋅ (-7) ⋅ 5 ⋅ 5 ⋅ 5 ⋅ 5

a)

72 ⋅ 54

b)

7-2 ⋅ 54

c)

(-7)-2 ⋅ 54

d)

(-7)2 ⋅ 54

3.

Use exponents to simplify the expression.
g×g×g×f×fg×g×f×f×f×f×f\frac{g\times g\times g\times f\times f}{g\times g\times f\times f\times f\times f\times f}

a)

g5f7g^5f^7

b)

gf3gf^{-3}

c)

g5f7g^5f^7

d)

(gf)7\left(gf\right)^7

4.

Evaluate the numerical expression 34(4)23^4-\left(-4\right)^2

a)

2020

b)

7373

c)

44

d)

9797

5.

Evaluate the numerical expression. 6+266+2^6

a)

7070

b)

6464

c)

1818

d)

1414

6.

Evaluate x3y2 ,  if  x=2  and  y=34x^3-y^2\ ,\ \ if\ \ x=2\ \ and\ \ y=\frac{3}{4}

a)

4124\frac{1}{2}

b)

77167\frac{7}{16}

c)

57165\frac{7}{16}

d)

89168\frac{9}{16}

7.

Evaluate (g+h)3\left(g+h\right)^3 , if g=2g=2 and h=3h=-3

a)

11

b)

125125

c)

125-125

d)

1-1

8.

Put one of the symbols in the space between the numbers to make the expression true.

(3)4 \left(-3\right)^4\ (4)3\left(-4\right)^3

a)

<<

b)

>>

c)

==

d)

\le

9.

A scientist estimated that, after a certain amount of time, there would be 25331052^5\cdot3^3\cdot10^5 bacteria in a Petri dish. How many bacteria is this?

a)

8640000086400000

b)

90000009000000

c)

100059100059

d)

210000210000

10.

Simplify. 3833^8\cdot3

a)

686^8

b)

989^8

c)

393^9

d)

868^6

11.

Simplify. 9p4(8)p29p^4\cdot\left(-8\right)p^2

a)

p6p^6

b)

72p272p^2

c)

72p6-72p^6

d)

p2p^2

12.

Simplify. 556381053689\frac{5^5\cdot6^3\cdot8^{10}}{5^3\cdot6\cdot8^9}

a)

526285^2\cdot6^2\cdot8

b)

58648195^8\cdot6^4\cdot8^{19}

c)

515638905^{15}\cdot6^3\cdot8^{90}

d)

5462845^4\cdot6^2\cdot8^4

13.

Simplify. 3m3n28mn33m^3n^2\cdot8mn^3

a)

11m4n511m^4n^5

b)

5m2n1-5m^2n^{-1}

c)

38m4n538m^4n^5

d)

24m4n524m^4n^5

14.

Simplify. b12b5\frac{b^{12}}{b^5}

a)

b17b^{17}

b)

b2.4b^{2.4}

c)

b7b^7

d)

b60b^{60}

15.

A publisher sells 10610^6 copies of a new science fiction book and 10310^3 copies of a new mystery book. How many times as many science fiction books were sold than mystery books?

a)

10910^9

b)

10310^3

c)

10210^2

d)

1010