Question

(a) Evaluate: [(-2/3)³+(4/9)] ÷ (3/4)^-3.
(b) If (2/5)³× (2/5)⁵= (2/5)3m+2 , then find m.​

Answer 1

Answer:

-8/27+4/9 ÷ 27/64

-8+12/27÷27/64

4×64/27×27

256/729

Step-by-step explanation:

Plz foll ow me

Answer 2

Step-by-step explanation:

(a)

= [(-2/3)³+(4/9)] ÷ (3/4)^-3

= [-8/27+4/9] ÷ (3/4)^-3

= [(-8 + 12)/27] ÷ (1/3 / 1/4)³

= 4/27 ÷ (4/3)³

= 4/27 ÷ 64/27

= 1/16

(b)

= (2/5)³× (2/5)⁵= (2/5)^3m+2

= (2/5)³+⁵= (2/5)^3m+2

= (2/5)^8= (2/5)^3m+2

if base is same powers are also same

8 = 3m + 2

8 -2 = 3m

6 = 3m

2 = m