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Solution - Power equations
200
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Step by Step Solution
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(1): "1.8" was replaced by "(18/10)".
Step 1 :
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 1 :
18
(—— • (105)) ÷ (9 • (22•52))
10
Step 2 :
Equation at the end of step 2 :
18
(—— • (105)) ÷ (32•22•52)
10
Step 3 :
3.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 3 :
18
(—— • (25•55)) ÷ (32•22•52)
10
Step 4 :
9
Simplify —
5
Equation at the end of step 4 :
9
— • (25•55)) ÷ (32•22•52)
5
Step 5 :
Dividing exponents :
5.1 55 divided by 51 = 5(5 - 1) = 54
Equation at the end of step 5 :
Step 6 :
(32•25•54)
Simplify ——————————
(32•22•52)
Canceling Out :
6.1 Canceling out 32 as it appears on both sides of the fraction line
Dividing exponents :
6.2 25 divided by 22 = 2(5 - 2) = 23
Dividing exponents :
6.3 54 divided by 52 = 5(4 - 2) = 52
Final result :
200
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