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Solution - Power equations
4,000
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
(2): "1.4" was replaced by "(14/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-1 = (2•5)(-1) = (2)(-1) • (5)(-1)
Equation at the end of step 1 :
56 14
(——•(102))——•((2)(-1)•(5)(-1)))
10( 10
Step 2 :
7
Simplify —
5
Equation at the end of step 2 :
56 7
(—— • (102)) ÷ (— • ((2)(-1)•(5)(-1)))
10 5
Step 3 :
Raising to a Power :
3.1 51 multiplied by 51 = 5(1 + 1) = 52
Equation at the end of step 3 :
56 7
(—— • (102)) ÷ ——
10 50
Step 4 :
4.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step 4 :
56 7
(—— • (22•52)) ÷ ——
10 50
Step 5 :
28
Simplify ——
5
Equation at the end of step 5 :
28 7
—— • (22•52)) ÷ ——
5 50
Step 6 :
Multiplying exponents :
6.1 22 multiplied by 22 = 2(2 + 2) = 24
Dividing exponents :
6.2 52 divided by 51 = 5(2 - 1) = 51 = 5
Equation at the end of step 6 :
07
——
50
Step 7 :
7
Divide 560 by ——
50
Final result :
4000
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