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Solution - Power equations
1/(2^7*5^7)=10.00000*10^-8
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-12" was replaced by "^(-12)". 1 more similar replacement(s)
(2): "0.5" was replaced by "(5/10)".
Step 1 :
1.1 10 = 2•5
(10)-12 = (2•5)(-12) = (2)(-12) • (5)(-12)
Equation at the end of step 1 :
5
(—— • (10-18)) ÷ (5 • ((2)(-12)•(5)(-12)))
10
Step 2 :
Raising to a Power :
2.1 51 divided by 512 = 5(1 - 12) = 5(-11) = 1/511
Equation at the end of step 2 :
5 1
(—— • (10-18)) ÷ —————————
10 (212•511)
Step 3 :
3.1 10 = 2•5
(10)-18 = (2•5)(-18) = (2)(-18) • (5)(-18)
Equation at the end of step 3 :
5 1
(—— • ((2)(-18)•(5)(-18))) ÷ —————————
10 (212•511)
Step 4 :
1
Simplify —
2
Equation at the end of step 4 :
1 1
— • ((2)(-18)•(5)(-18))) ÷ —————————
2 (212•511)
Step 5 :
Multiplying exponents :
5.1 21 multiplied by 218 = 2(1 + 18) = 219
Equation at the end of step 5 :
1 1
————————— ÷ —————————
(219•518) (212•511)
Step 6 :
1 1
Divide ————————— by —————————
(219•518) (212•511)
6.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 1 1 (212•511) ————————— ÷ ————————— = ————————— • ————————— (219•518) (212•511) (219•518) 1
Dividing exponents :
6.2 212 divided by 219 = 2(12 - 19) = 2(-7) = 1/27
Dividing exponents :
6.3 511 divided by 518 = 5(11 - 18) = 5(-7) = 1/57
Final result :
1
——————— = 10.00000 • 10-8
(27•57)
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