Chapters

## Exercise 1

Calculate:

1 2^{7} : 2^{6} =

2 5^{7} : 5³ =

3 2^{5} · 2^{4} · 2 =

4 3³ · 3^{4} · 3 =

5 (5 · 2 · 3)^{4} =

Chapters

Calculate:

1 2^{7} : 2^{6} =

2 5^{7} : 5³ =

3 2^{5} · 2^{4} · 2 =

4 3³ · 3^{4} · 3 =

5 (5 · 2 · 3)^{4} =

Superprof

Calculate:

1

(5³)^{4} =

2 (3^{4})^{4} =

3

(2²)^{4} =

4 (2^{5})^{4} =

Calculate:

1

[(5³)^{4}]² = (5^{12})² =

2

(8²)³ =[( 2³)²]³ = (2^{6})³ =

3

(9³)² = [(3²)³]² = (3^{6})² =

4 [(2³)^{4}]^{0} = (2^{12})^{0} = 2^{0 } =

5 (27²)^{5} =[(3³)²]^{5 } = (3^{6})^{5} =

6 (4³)² = [(2²)³]² = (2^{6})² =

7 (4 · 2 · 3)^{4} =

Calculate:

1 (−2)² · (−2)³ · (−2)^{4} = (−2)^{9} =

2

(−2)^{−2} · (−2)³ · (−2)^{4} = (−2)^{5} =

3

2^{−2} · 2^{−3} · 2^{4} = 2^{−1 } =

4

2² : 2³ = 2^{−1 } =

5

2^{−2} : 2³ = 2^{−5 } = (1/2)^{5} =

6 2² : 2^{−3} = 2^{5} =

7

2^{−2} : 2^{−3} =

Calculate:

Calculate:

1

2

3

4

Calculate:

1 2^{7} : 2^{6} = 2

2 5^{7} : 5³ = 5^{4}

3 2^{5} · 2^{4} · 2 = 2^{10}

4 3³ · 3^{4} · 3 = 3^{8}

5 (5 · 2 · 3)^{4} = 30^{4}

Calculate:

1

(5³)^{4} = 5^{12}

2 (3^{4})^{4} = 3^{16 }

3

(2²)^{4} = 2^{8}

4 (2^{5})^{4} = 2^{20 }

Calculate:

1

[(5³)^{4}]² = (5^{12})² = 5^{24 }

2

(8²)³ =[( 2³)²]³ = (2^{6})³ = 2^{18}

3

(9³)² = [(3²)³]² = (3^{6})² = 3^{12}

4 [(2³)^{4}]^{0} = (2^{12})^{0} = 2^{0 } = 1

5 (27²)^{5} =[(3³)²]^{5 } = (3^{6})^{5} = 3^{30}

6 (4³)² = [(2²)³]² = (2^{6})² = 2^{12 }

7 (4 · 2 · 3)^{4} = 24^{4}

Calculate:

1 (−2)² · (−2)³ · (−2)^{4} = (−2)^{9} = −512

2

(−2)^{−2} · (−2)³ · (−2)^{4} = (−2)^{5} = −32

3

2^{−2} · 2^{−3} · 2^{4} = 2^{−1 } = 1/2

4

2² : 2³ = 2^{−1 } = 1/2

5

2^{−2} : 2³ = 2^{−5 } = (1/2)^{5} = 1/32

6 2² : 2^{−3} = 2^{5} = 32

7

2^{−2} : 2^{−3} = 2

Calculate:

Calculate:

1

2

3

4

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