Solution - Power equations
6,432,000
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "6.7" was replaced by "(67/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 1 :
96 67
(——•(103))•(——•(22•52))
10 10
Step 2 :
67
Simplify ——
10
Equation at the end of step 2 :
96 67
(—— • (103)) • (—— • (22•52))
10 10
Step 3 :
Dividing exponents :
3.1 22 divided by 21 = 2(2 - 1) = 21 = 2
Raising to a Power :
3.2 52 divided by 51 = 5(2 - 1) = 51 = 5
Equation at the end of step 3 :
96
(—— • (103)) • 670
10
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
96
(—— • (23•53)) • 670
10
Step 5 :
48
Simplify ——
5
Equation at the end of step 5 :
48
(—— • (23•53)) • 670
5
Step 6 :
Multiplying exponents :
6.1 24 multiplied by 23 = 2(4 + 3) = 27
Dividing exponents :
6.2 53 divided by 51 = 5(3 - 1) = 52
Equation at the end of step 6 :
9600 • 670
Step 7 :
Final result :
6432000
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