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Solution - Power equations
(2^4*11*5^3)
Other Ways to Solve:
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-8" was replaced by "^(-8)".
(2): "4." was replaced by "(4/1)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-8 = (2•5)(-8) = (2)(-8) • (5)(-8)
Equation at the end of step 1 :
88 4
(——•—)•((2)(-8)•(5)(-8))
10 1
Step 2 :
4
Simplify —
1
Equation at the end of step 2 :
88 (1012)
(—— • ——————) • ((2)(-8)•(5)(-8))
10 4
Step 3 :
3.1 10 = 2•5
(10)12 = (2•5)12 = 212 • 512
Equation at the end of step 3 :
88 (212•512)
(—— • —————————) • ((2)(-8)•(5)(-8))
10 4
Step 4 :
(212•512)
Simplify —————————
4
Dividing exponents :
4.1 212 divided by 22 = 2(12 - 2) = 210
Equation at the end of step 4 :
88
(—— • (210•512)) • ((2)(-8)•(5)(-8))
10
Step 5 :
44
Simplify ——
5
Equation at the end of step 5 :
44
(—— • (210•512)) • ((2)(-8)•(5)(-8))
5
Step 6 :
Multiplying exponents :
6.1 22 multiplied by 210 = 2(2 + 10) = 212
Dividing exponents :
6.2 512 divided by 51 = 5(12 - 1) = 511
Equation at the end of step 6 :
(212•11•511) • ((2)(-8)•(5)(-8))
Step 7 :
Dividing exponents :
7.1 212 divided by 28 = 2(12 - 8) = 24
Dividing exponents :
7.2 511 divided by 58 = 5(11 - 8) = 53
Final result :
(24•11•53)
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