9^1/3×27^1/2by3^1/6×3^-2/3 simplify
Answers
Answer:
27
Step-by-step explanation:
Equation at the end of step 1 :
(91) (27-1) (3-1) (3)(-2)
(————•——————) ÷ (—————•———————)
3 2 6 3
Step 2 :
1
Divide —— by 3
32
Multiplying exponents :
2.1 32 multiplied by 31 = 3(2 + 1) = 33
Equation at the end of step 2 :
(91) (27-1) (3-1) 1
(————•——————) ÷ (—————•——)
3 2 6 27
Step 3 :
Equation at the end of step 3 :
(91) (27-1) (3)(-1) 1
(————•——————) ÷ (———————•——)
3 2 6 27
Step 4 :
1
Divide — by 6
3
Raising to a Power :
4.1 31 multiplied by 31 = 3(1 + 1) = 32
Equation at the end of step 4 :
(91) (27-1) 1 1
(————•——————) ÷ (——•——)
3 2 18 27
Step 5 :
5.1 27 = 33
(27)-1 = (33)(-1) = (3)(-3)
Equation at the end of step 5 :
(91) (3)(-3) 1
(———— • ———————) ÷ ———
3 2 486
Step 6 :
1
Divide —— by 2
33
Equation at the end of step 6 :
(91) 1 1
(———— • ——) ÷ ———
3 54 486
Step 7 :
7.1 9 = 32
(9)1 = (32)1 = 32
Equation at the end of step 7 :
32 1 1
(—— • ——) ÷ ———
3 54 486
Step 8 :
32
Simplify ——
3
Dividing exponents :
8.1 32 divided by 31 = 3(2 - 1) = 31 = 3
Equation at the end of step 8 :
1 1
(3 • ——) ÷ ———
54 486
Step 9 :
1 1
Divide —— by ———
18 486
9.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 1 1 486
—— ÷ ——— = —— • ———
18 486 18 1
Final result :
27