Question

Simplify
(a) (2) ²/³x (2)¹/³

(b) {6² +8²}¹/²​

Answer 1

Step-by-step explanation:

a) (2) ^2/3 × (2)^1/3

= ( 2 ) ^2/3+1/3

= ( 2 ) ^ 3/3 =(2)^1

= 2

b) {6^2+8^2}^1/2

= { (6)^ 2×1/2 + (8)^ 2× 1/2 }

= (6^1 +8 ^1)

= 6 + 8

=14

Hope this will helpful.

Answer 2

Step-by-step explanation:

a)

by the formula a power m * a power n = [a] power m +n

[2] power 2/3 + 1/3

[2] power 2+1

------

3

[2] power 3/3

[2] power 1

= 2

b)

6 power 2 = 36

8 power 2 = 64

36+64=100

[100] whole power 1/2

= 10

HOPE THIS HELPFUL TO YOU

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