Question

2. Simplify:

(x) (1/4)^-2 - 3*8^2/3 * 4^0 + (9/16)^ -1/2

Answer 1

16x-12+4/3 is the answer of your question.

Answer 2

( 1/4 )^-2 - 3 × 8^2/3 × 4^0 + ( 9/16 )^-1/2

***************************************************

By exponential laws :

1 ) a^0 = 1

2 ) ( a/b )^-n = ( b/a )^n

3 ) ( a^m )^n = a^mn

***************************************************

= ( 4² ) - 3 × ( 2³ )^2/3 × 1 + ( 3²/4² )^-1/2

= 8 - 3 ×( 2^ 3 × 2/3 ) + ( 3/4 )^ -2/2

= 8 - 3 × 2² + ( 3/4 )^-1

= 8 - 12 + 4/3

= -4 + 4/3

= ( -12 + 4 )/3

= - 8/3

****