Question

27 2/3 ÷{81/16]^-1/4​

Answer 1

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "^-1" was replaced by "^(-1)".

STEP

1

:

81

Simplify ——

16

Equation at the end of step

1

:

(272) 81

————— ÷ (——)-1) ÷ 4

3 16

STEP

2

:

2.1 81 = 34

(81)-1 = (34)(-1) = (3)(-4) 2.2 16 = 24 (16)-1 = (24)(-1) = (2)(-4)

Equation at the end of step

2

:

(272) (3)(-4)

————— ÷ ——————— ÷ 4

3 (2)(-4)

STEP

3

:

3.1 27 = 33

(27)2 = (33)2 = 36

Equation at the end of step

3

:

36 (3)(-4)

—— ÷ ——————— ÷ 4

3 (2)(-4)

STEP

4

:

36

Simplify ——

3

Dividing exponents:

4.1 36 divided by 31 = 3(6 - 1) = 35

Equation at the end of step

4

:

(3)(-4)

——————— ÷ 4

(2)(-4)

STEP

5

:

(3)(-4)

Divide 243 by ———————

(2)(-4)

Multiplying exponents:

5.1 35 multiplied by 34 = 3(5 + 4) = 39

Equation at the end of step

5

:

39

—— ÷ 4

16

STEP

6

:

39

Divide —— by 4

16

Final result :

39

—— = 307.54687

64