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Solution - Power equations
(19*2^10*5^10)
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Step by Step Solution
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(1): "9.5" was replaced by "(95/10)".
Step 1 :
1.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 1 :
95 (108)
(—— • —————) • (23•53)
10 5
Step 2 :
2.1 10 = 2•5
(10)8 = (2•5)8 = 28 • 58
Equation at the end of step 2 :
95 (28•58)
(—— • ———————) • (23•53)
10 5
Step 3 :
(28•58)
Simplify ———————
5
Dividing exponents :
3.1 58 divided by 51 = 5(8 - 1) = 57
Equation at the end of step 3 :
95
(—— • (28•57)) • (23•53)
10
Step 4 :
19
Simplify ——
2
Equation at the end of step 4 :
19
(—— • (28•57)) • (23•53)
2
Step 5 :
Dividing exponents :
5.1 28 divided by 21 = 2(8 - 1) = 27
Equation at the end of step 5 :
(19•27•57) • (23•53)
Step 6 :
Multiplying exponents :
6.1 27 multiplied by 23 = 2(7 + 3) = 210
Multiplying exponents :
6.2 57 multiplied by 53 = 5(7 + 3) = 510
Final result :
(19•210•510)
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