Solution - Power equations
1/200=0.00500
Step by Step Solution
Step 1 :
1.1 10 = 2•5
(10)7 = (2•5)7 = 27 • 57
Equation at the end of step 1 :
Step 2 :
Raising to a Power :
2.1 23 multiplied by 27 = 2(3 + 7) = 210
Equation at the end of step 2 :
Step 3 :
3.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 3 :
Step 4 :
Multiplying exponents :
4.1 22 multiplied by 25 = 2(2 + 5) = 27
Equation at the end of step 4 :
Step 5 :
(27•55)
Simplify ————————
(210•57)
Dividing exponents :
5.1 27 divided by 210 = 2(7 - 10) = 2(-3) = 1/23
Dividing exponents :
5.2 55 divided by 57 = 5(5 - 7) = 5(-2) = 1/52
Final result :
1
——— = 0.00500
200
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