Solution - Power equations
(2^11*5^7*11*17)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.8" was replaced by "(88/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)6 = (2•5)6 = 26 • 56
Equation at the end of step 1 :
34 88
((——•(103))•——)•(26•56)
10 10
Step 2 :
44
Simplify ——
5
Equation at the end of step 2 :
34 44
((—— • (103)) • ——) • (26•56)
10 5
Step 3 :
3.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 3 :
34 44
((—— • (23•53)) • ——) • (26•56)
10 5
Step 4 :
17
Simplify ——
5
Equation at the end of step 4 :
17 44
((—— • (23•53)) • ——) • (26•56)
5 5
Step 5 :
Dividing exponents :
5.1 53 divided by 51 = 5(3 - 1) = 52
Equation at the end of step 5 :
44
(3400 • ——) • (26•56)
5
Step 6 :
Multiplying exponents :
6.1 25 multiplied by 26 = 2(5 + 6) = 211
Multiplying exponents :
6.2 51 multiplied by 56 = 5(1 + 6) = 57
Final result :
(211•57•11•17)
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