Solution - Power equations
4,554
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "3.934" was replaced by "(3934/1000)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 1 :
62 3934
(——•(102))+(————•(23•53))
10 1000
Step 2 :
1967
Simplify ————
500
Equation at the end of step 2 :
62 1967
(—— • (102)) + (———— • (23•53))
10 500
Step 3 :
Dividing exponents :
3.1 23 divided by 22 = 2(3 - 2) = 21 = 2
Raising to a Power :
3.2 Canceling out 53 as it appears on both sides of the fraction line
Equation at the end of step 3 :
62
(—— • (102)) + 3934
10
Step 4 :
4.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 4 :
62
(—— • (22•52)) + 3934
10
Step 5 :
31
Simplify ——
5
Equation at the end of step 5 :
31
(—— • (22•52)) + 3934
5
Step 6 :
Dividing exponents :
6.1 52 divided by 51 = 5(2 - 1) = 51 = 5
Equation at the end of step 6 :
620 + 3934
Step 7 :
Final result :
4554
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