Solution - Simplification or other simple results
(461^8*13^6*17^6*31^6)/(2^34*5^34)=2.10927*10^10
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "6.851" was replaced by "(6851/1000)". 2 more similar replacement(s)
Step 1 :
6851
Simplify ————
1000
Equation at the end of step 1 :
461 6851
{———}8 • (————)6)
100 1000
Step 2 :
2.1 6851 = 13•17•31
(6851)6 = (13•17•31)6 = 136 • 176 • 316 2.2 1000 = 23•53 (1000)6 = (23•53)6 = 218 • 518
Equation at the end of step 2 :
461 (136•176•316)
{———}8 • —————————————
100 (218•518)
Step 3 :
461
Simplify ———
100
Equation at the end of step 3 :
461 (136•176•316)
(———)8) • —————————————
100 (218•518)
Step 4 :
4.1 100 = 22•52 (100)8 = (22•52)8 = 216 • 516
Equation at the end of step 4 :
4618 (136•176•316)
————————— • —————————————
(216•516) (218•518)
Step 5 :
Multiplying exponents :
5.1 216 multiplied by 218 = 2(16 + 18) = 234
Multiplying exponents :
5.2 516 multiplied by 518 = 5(16 + 18) = 534
Final result :
(4618•136•176•316)
—————————————————— = 2.10927 • 1010
(234•534)
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