Solution - Power equations
4,800
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "2.5" was replaced by "(25/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)4 = (2•5)4 = 24 • 54
Equation at the end of step 1 :
12 25
(——•(108))——•(24•54))
10( 10
Step 2 :
5
Simplify —
2
Equation at the end of step 2 :
12 5
(—— • (108)) ÷ (— • (24•54))
10 2
Step 3 :
Multiplying exponents :
3.1 51 multiplied by 54 = 5(1 + 4) = 55
Raising to a Power :
3.2 24 divided by 21 = 2(4 - 1) = 23
Equation at the end of step 3 :
12
(—— • (108)) ÷ (55•23)
10
Step 4 :
4.1 10 = 2•5
(10)8 = (2•5)8 = 28 • 58
Equation at the end of step 4 :
12
(—— • (28•58)) ÷ (55•23)
10
Step 5 :
6
Simplify —
5
Equation at the end of step 5 :
6
— • (28•58)) ÷ (55•23)
5
Step 6 :
Multiplying exponents :
6.1 21 multiplied by 28 = 2(1 + 8) = 29
Dividing exponents :
6.2 58 divided by 51 = 5(8 - 1) = 57
Equation at the end of step 6 :
Step 7 :
(29•3•57)
Simplify —————————
(55•23)
Dividing exponents :
7.1 29 divided by 23 = 2(9 - 3) = 26
Dividing exponents :
7.2 57 divided by 55 = 5(7 - 5) = 52
Final result :
4800
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