Question

when 12 power 3×3 power-3×32/6 power3×9 power-3×4 power 3​

Answer 1

Answer:

Solution:

(-2/7)-4 × (-5/7)2

= (7/-2)4 × (-5/7)2

= (-7/2)4 × (-5/7)2 [Since, (7/-2) = (-7/2)]

= (-7)4/24 × (-5)2/72

= {74 × (-5)2}/{24 × 72 } [Since, (-7)4 = 74]

= {72 × (-5)2 }/24

= [49 × (-5) × (-5)]/16

= 1225/16

3. Evaluate: (-1/4)-3 × (-1/4)-2

Solution:

(-1/4)-3 × (-1/4)-2

= (4/-1)3 × (4/-1)2

= (-4)3 × (-4)2

= (-4)(3 + 2)

= (-4)5

= -45

= -1024.

4. Evaluate: {[(-3)/2]2}-3

Solution:

{[(-3)/2]2}-3

= (-3/2)2 × (-3)

= (-3/2)-6

= (2/-3)6

= (-2/3)6

= (-2)6/36

= 26/36

= 64/729

5. Simplify:

(i) (2-1 × 5-1)-1 ÷ 4-1

(ii) (4-1 + 8-1) ÷ (2/3)-1

Solution:

(i) (2-1 × 5-1)-1 ÷ 4-1

= (1/2 × 1/5)-1 ÷ (4/1)-1

= (1/10)-1 ÷ (1/4)

= 10/1 ÷ 1/4

= (10 ÷ 1/4)

= (10 × 4)

= 40.

(ii) (4-1 + 8-1) ÷ (2/3)-1

= (1/4 + 1/8) ÷ (3/2)

= (2 + 1)/8 ÷ 3/2

= (3/8 ÷ 3/2)

= (3/8 ÷ 2/3)

= 1/4

Step-by-step explanation:

hope it help yoy