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Solution - Power equations
907
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Step by Step Solution
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(1): "4.3" was replaced by "(43/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)1 = (2•5)1 = 2 • 5
Equation at the end of step 1 :
95 43
(——•(102))-(——•(2•5))
10 10
Step 2 :
43
Simplify ——
10
Equation at the end of step 2 :
95 43
(—— • (102)) - (—— • (2•5))
10 10
Step 3 :
Canceling Out :
3.1 Canceling out 2 as it appears on both sides of the fraction line
Raising to a Power :
3.2 Canceling out 5 as it appears on both sides of the fraction line
Equation at the end of step 3 :
95
(—— • (102)) - 43
10
Step 4 :
4.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 4 :
95
(—— • (22•52)) - 43
10
Step 5 :
19
Simplify ——
2
Equation at the end of step 5 :
19
(—— • (22•52)) - 43
2
Step 6 :
Dividing exponents :
6.1 22 divided by 21 = 2(2 - 1) = 21 = 2
Equation at the end of step 6 :
950 - 43
Step 7 :
Final result :
907
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