Solution - Power equations
1,008
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-3" was replaced by "^(-3)".
(2): "2.52" was replaced by "(252/100)".
Step 1 :
1.1 10 = 2•5
(10)-3 = (2•5)(-3) = (2)(-3) • (5)(-3)
Equation at the end of step 1 :
252
(——— • (105)) • (4 • ((2)(-3)•(5)(-3)))
100
Step 2 :
Raising to a Power :
2.1 22 divided by 23 = 2(2 - 3) = 2(-1) = 1/21 = 1/2
Equation at the end of step 2 :
252 1
(——— • (105)) • ———
100 250
Step 3 :
3.1 10 = 2•5
(10)5 = (2•5)5 = 25 • 55
Equation at the end of step 3 :
252 1
(——— • (25•55)) • ———
100 250
Step 4 :
63
Simplify ——
25
Equation at the end of step 4 :
63 1
(—— • (25•55)) • ———
25 250
Step 5 :
Dividing exponents :
5.1 55 divided by 52 = 5(5 - 2) = 53
Equation at the end of step 5 :
1
(32•7•25•53) • ———
250
Step 6 :
Dividing exponents :
6.1 25 divided by 21 = 2(5 - 1) = 24
Canceling Out :
6.2 Canceling out 53 as it appears on both sides of the fraction line
Final result :
1008
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