Question

Simplify 9^1/3*27^1/2 / 3^1/6*3^2/3​

Answer 1

Answer:

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Step-by-step explanation:

 91/3*271/2/31/6*32/3 Final result : 27 —— = 6.75000 4

Step by step solution :Step  1  :

Equation at the end of step  1  : (91) (271) 32 (————•————— ÷ (31) ÷ 6)•—— 3 2 3 Step  2  : 32 Simplify —— 3 Raising to a Power :

 2.1    32   divided by   31   = 3(2 - 1) = 31 = 3

Equation at the end of step  2  : (91) (271) (————•————— ÷ (31) ÷ 6)•3 3 2 Step  3  :

Equation at the end of step  3  : (91) (271) (————•————— ÷ 3 ÷ 6)•3 3 2 Step  4  : 4.1     27 = 33

(27)1 = (33)1 = 33

Equation at the end of step  4  : (91) 33 (————•—— ÷ 3 ÷ 6)•3 3 2 Step  5  : 33 Simplify —— 2 Equation at the end of step  5  : (91) 27 (————•—— ÷ 3 ÷ 6)•3 3 2 Step  6  : 27 Divide —— by 3 2 Raising to a Power :

 6.1    33   divided by   31   = 3(3 - 1) = 32

Equation at the end of step  6  : (91) 9 (———— • — ÷ 6) • 3 3 2 Step  7  : 9 Divide — by 6 2 Equation at the end of step  7  : (91) 3 (———— • —) • 3 3 4 Step  8  : 8.1     9 = 32

(9)1 = (32)1 = 32

Equation at the end of step  8  : 32 3 (—— • —) • 3 3 4 Step  9  : 32 Simplify —— 3 Dividing exponents :

 9.1    32   divided by   31   = 3(2 - 1) = 31 = 3

Equation at the end of step  9  : 3 (3 • —) • 3 4 Step  10  :Final result : 27 —— = 6.75000 4

Answer 2

Answer:

Step-by-step explanation:

according to the question

∛9 * √27

⁶√3 *  ∛(3)²

we can also write this in

∛(3)² * √(3)³

⁶√3 *  ∛(3)²

 

3 ²/₃ *   3 ³/₂

3¹/₆   *  3²/₃

3 ⁽²/₃+³/₂)

3 ⁽¹/₆+²/₃)

3⁽¹³/₆)

3⁽⁵/₆)

3⁽¹³/₆  ⁻  ⁵/₆)

3⁽⁸/₆)

3⁽⁴/₃)                        (in standard form)

=∛(3)⁴

=∛81