Solution - Power equations
3,000
Step by Step Solution
Step 1 :
1.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 1 :
Step 2 :
Raising to a Power :
2.1 21 multiplied by 23 = 2(1 + 3) = 24
Equation at the end of step 2 :
Step 3 :
3.1 10 = 2•5
(10)6 = (2•5)6 = 26 • 56
Equation at the end of step 3 :
Step 4 :
Multiplying exponents :
4.1 21 multiplied by 26 = 2(1 + 6) = 27
Equation at the end of step 4 :
Step 5 :
(27•3•56)
Simplify —————————
(24•53)
Dividing exponents :
5.1 27 divided by 24 = 2(7 - 4) = 23
Dividing exponents :
5.2 56 divided by 53 = 5(6 - 3) = 53
Final result :
3000
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