Question

The simplest form of 64/729^-1/6​

Answer 1

Answer:

32

Step-by-step explanation:

Step by Step Solution:

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STEP

1

:

64

Simplify ———

729

Equation at the end of step

1

:

(64

(———)1) ÷ 6

729

STEP

2

:

2.1 64 = 26

(64)1 = (26)1 = 26 2.2 729 = 36 (729)1 = (36)1 = 36

Equation at the end of step

2

:

26

—— ÷ 6

36

STEP

3

:

26

Divide —— by 6

36

Multiplying exponents:

3.1 36 multiplied by 31 = 3(6 + 1) = 37

Dividing exponents:

3.2 26 divided by 21 = 2(6 - 1) = 25

Final result :

32

———— = 0.01463

2187

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