Question

(256/81) raise to 5/4 simplify​

Answer 1

Answer:

1024/243

Step-by-step explanation:

(256/81)^(5/4)

=(2^8/3^4)^(5/4)

=(2^8)^(5/4) / (3^4)^(5/4)

=2^10 / 3^5

=1024/243

Answer 2

Answer:

2³⁸= 78.83421

3²⁰

Step-by-step explanation:

STEP 1:

Simplify 256

81

Equation at the end of step 1:

( (256)5) ÷ 4

81

STEP 2:

256 = 2⁸ ______(2.1)

(256)⁵= (2⁸)⁵= 2⁴⁰______(2.2)

81= 3⁴ (81)⁵ =(3⁴)⁵= 3²⁰_____(2.3)

Equation at the end of step 2:

2⁴⁰ ÷ 4

3²⁰

STEP 3:

divide 2⁴⁰ by 4

3 ²⁰

Dividing exponents:

2⁴⁰ divided by 2²=( 2)⁴⁰-² = 2³⁸____(3.1)

Final result :

2³⁸= 78.83421

3²⁰