Solution - Power equations
8,550
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-4" was replaced by "^(-4)".
(2): "1.5" was replaced by "(15/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-4 = (2•5)(-4) = (2)(-4) • (5)(-4)
Equation at the end of step 1 :
57 15
(——•(107))•(——•((2)(-4)•(5)(-4)))
10 10
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
57 3
(—— • (107)) • (— • ((2)(-4)•(5)(-4)))
10 2
Step 3 :
Raising to a Power :
3.1 21 multiplied by 24 = 2(1 + 4) = 25
Equation at the end of step 3 :
57 3
(—— • (107)) • ———————
10 (25•54)
Step 4 :
4.1 10 = 2•5
(10)7 = (2•5)7 = 27 • 57
Equation at the end of step 4 :
57 3
(—— • (27•57)) • ———————
10 (25•54)
Step 5 :
57
Simplify ——
10
Equation at the end of step 5 :
57 3
(—— • (27•57)) • ———————
10 (25•54)
Step 6 :
Dividing exponents :
6.1 27 divided by 21 = 2(7 - 1) = 26
Dividing exponents :
6.2 57 divided by 51 = 5(7 - 1) = 56
Equation at the end of step 6 :
3
(3•19•26•56) • ———————
(25•54)
Step 7 :
Multiplying exponents :
7.1 31 multiplied by 31 = 3(1 + 1) = 32
Dividing exponents :
7.2 26 divided by 25 = 2(6 - 5) = 21 = 2
Dividing exponents :
7.3 56 divided by 54 = 5(6 - 4) = 52
Final result :
8550
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