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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas [1] UNIT 2 POWERS A) DEFINITION OF POWER 1. Write the following in power form: 4 x 4 x 4 x 4 x 4 = a) 5 x 5 x 5 b) 3 x 3 x 3 x 3 c) 1 x 1 x 1 d) (- 2) x (- 2) x (- 2) x (- 2) 2. Calculate the value and write the original power and the result in words: 4 raised to 3 Sixty four a) b) c) d) e) f) g) 3. Calculate the value and write the original power and the result in words: (Minus 5) raised to 4 Six hundred twenty five a) b) c) d) e) f) g) h) i) j) k) l) m) n) o) p) 4. Calculate 6 squared minus 3 cubed. 5. Double the value of 7 squared. 6. Halve the value of 16 cubed minus 4 squared. 7. Calculate the value of: a) b) c) d) e) f) g) h) i) j) k) l) m) n)

Unit 2 - Powers Exercises

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Page 1: Unit 2 - Powers Exercises

Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[1]

UNIT 2 POWERS

A) DEFINITION OF POWER

1. Write the following in power form:

4 x 4 x 4 x 4 x 4 =

a) 5 x 5 x 5 b) 3 x 3 x 3 x 3 c) 1 x 1 x 1 d) (- 2) x (- 2) x (- 2) x (- 2)

2. Calculate the value and write the original power and the result in words:

4 raised to 3 Sixty four

a) b) c) d) e) f)

g)

3. Calculate the value and write the original power and the result in words:

(Minus 5) raised to 4 Six hundred twenty five

a) b) c) d)

e) f) g) h)

i) j) k) l)

m) n) o) p)

4. Calculate 6 squared minus 3 cubed.

5. Double the value of 7 squared.

6. Halve the value of 16 cubed minus 4 squared.

7. Calculate the value of:

a) b) c) d)

e) f) g) h)

i) j) k) l)

m) n)

Page 2: Unit 2 - Powers Exercises

Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[2]

B) PROPERTIES OF POWERS

All these exercises have been generated using the online software +G3NI. For additional

information about the application, please go to:

http://www.xtec.cat/iesterresdeponent/geni/castella/portada.html

1. Express as just one power:

Page 3: Unit 2 - Powers Exercises

Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[3]

2. Express as just one power:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[4]

3. Express as just one power:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[5]

4. Express as just one power:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[6]

5. Express as just one power:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

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6. Express as just one power:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

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C) ORDER OF OPERATIONS WITH POWERS

1. Calculate:

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Colegio Ntra. Señora del Prado (Ciudad Real) 2 ESO Matemáticas

[9]

D) SQUARE ROOTS

1. Express as just one power.