Question

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Answer 1

1) Find the value of the following :

(i) ( 6 / 7 )⁻²

→ ( 7 / 6 ) ²

→ ( 7 × 7 / 6 × 6 )

→ 49 / 36

(ii) ( 1 / 3 )⁻⁴

→ ( 3 / 1 ) ⁴

→ ( 3 × 3 × 3 × 3 / 1 × 1 × 1 × 1)

→ 81 / 1

→ 81

(iii) 2⁻² × 5⁰

→ 1 / 2 ² × 5⁰

→ 1 / 4 × 1

→ 1 / 4

(iv) 7⁻³ × 40

→ 1 / 7 ³ × 40

→ 1/ 343 × 40

→ 40 / 343

(v) 1 / 6⁻²

→ 6² / 1

→ 36

(vi) 1 / 11⁻³

→ 11³ / 1

→ 1331

(vii) it's exponents are not clearly visible

(viii) 1 / 20² × 1 / 20⁻²

→ 1 / 20² × 20² / 1

→ 1 / 400 × 400 / 1

→ 1

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2) simplify and write in exponential form

(i) (-8)² × (-8)⁻⁷

→ -8⁽²⁺⁽⁻⁷⁾⁾

→ -8⁽²⁻⁷⁾

→ -8⁽⁻⁵⁾

→ - 1/8⁵. . . . [ - 1/32768]

(ii) 6³ × 6² × 6⁻⁵

→ 6⁽³⁺²⁺⁽⁻⁵⁾⁾

→ 6⁽⁵⁺⁽⁻⁵⁾⁾

→ 6⁽⁵⁻⁵⁾

→ 6⁰ . . . . [1]

(iii) the exponent is not visible

(iv) 6⁻¹¹ ÷ 6⁻⁴

→ 6⁻¹¹⁻⁽⁻⁴⁾

→ 6 ⁻¹¹⁺⁴

→ 6 ⁻⁷

Note - Now from question 2 (v) all the answers are in the attachment

Answer 2

Answers attached above

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