Solution - Power equations
1,200
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-3" was replaced by "^(-3)".
Step 1 :
1.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 1 :
(3 • (10-3)) • (4 • (25•55))
Step 2 :
Raising to a Power :
2.1 22 multiplied by 25 = 2(2 + 5) = 27
Equation at the end of step 2 :
(3 • (10-3)) • (27•55)
Step 3 :
3.1 10 = 2•5
(10)-3 = (2•5)(-3) = (2)(-3) • (5)(-3)
Equation at the end of step 3 :
(3 • ((2)(-3)•(5)(-3))) • (27•55)
Step 4 :
Equation at the end of step 4 :
3
———— • (27•55)
1000
Step 5 :
Dividing exponents :
5.1 27 divided by 23 = 2(7 - 3) = 24
Dividing exponents :
5.2 55 divided by 53 = 5(5 - 3) = 52
Final result :
1200
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