Question

Find the value of [(-2/3)^2]^2

Answer 1

Answer:

==> ((-2/3)²)²)

===> (-2/3)^4

==>  16/243

Answer 2

[(-2/3)²]² = 16/81

Given:

• [(-2/3)²]²

To Find:

• Value

Solution:

• a² = a x a
• a² = (-a)²
• (a/b)² = a²/b²

[(-2/3)²]²

Step 1:

Use a² = (-a)²  hence,

= [( 2/3)²]²

Step 2:

Use (a/b)² = a²/b²  hence,

= [ 2²/3²]²

Step 3:

Use a² = a x a  hence 2² = 2 x  2 = 4  and 3² = 3 x 3 = 9

= [ 4/9]²

Step 4:

Use (a/b)² = a²/b²  hence,

=  4²/9²

Step 5:

Use a² = a x a  hence 4² =  4 x  4 = 16  and 9² = 9 x 9 = 81

= 16/81

Hence, [(-2/3)²]² = 16/81