Solution - Power equations
(3^5*7^2*2^18*5^20)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "3.15" was replaced by "(315/100)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)7 = (2•5)7 = 27 • 57
Equation at the end of step 1 :
945 315
(———•(1015))•(———•(27•57))
100 100
Step 2 :
63
Simplify ——
20
Equation at the end of step 2 :
945 63
(——— • (1015)) • (—— • (27•57))
100 20
Step 3 :
Dividing exponents :
3.1 27 divided by 22 = 2(7 - 2) = 25
Raising to a Power :
3.2 57 divided by 51 = 5(7 - 1) = 56
Equation at the end of step 3 :
945
(——— • (1015)) • (32•7•25•56)
100
Step 4 :
4.1 10 = 2•5
(10)15 = (2•5)15 = 215 • 515
Equation at the end of step 4 :
945
(——— • (215•515)) • (32•7•25•56)
100
Step 5 :
189
Simplify ———
20
Equation at the end of step 5 :
189
(——— • (215•515)) • (32•7•25•56)
20
Step 6 :
Dividing exponents :
6.1 215 divided by 22 = 2(15 - 2) = 213
Dividing exponents :
6.2 515 divided by 51 = 5(15 - 1) = 514
Equation at the end of step 6 :
(33•7•213•514) • (32•7•25•56)
Step 7 :
Multiplying exponents :
7.1 33 multiplied by 32 = 3(3 + 2) = 35
Multiplying exponents :
7.2 71 multiplied by 71 = 7(1 + 1) = 72
Multiplying exponents :
7.3 213 multiplied by 25 = 2(13 + 5) = 218
Multiplying exponents :
7.4 514 multiplied by 56 = 5(14 + 6) = 520
Final result :
(35•72•218•520)
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