Solution - Power equations
(2^3*5^5)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-9" was replaced by "^(-9)". 1 more similar replacement(s)
(2): "2." was replaced by "(2/1)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-9 = (2•5)(-9) = (2)(-9) • (5)(-9)
Equation at the end of step 1 :
5 2
(—•(10-5))—•((2)(-9)•(5)(-9)))
1( 1
Step 2 :
2
Simplify —
1
Equation at the end of step 2 :
5
(— • (10-5)) ÷ (2 • ((2)(-9)•(5)(-9)))
1
Step 3 :
Raising to a Power :
3.1 21 divided by 29 = 2(1 - 9) = 2(-8) = 1/28
Equation at the end of step 3 :
5 1
(— • (10-5)) ÷ ———————
1 (28•59)
Step 4 :
4.1 10 = 2•5
(10)-5 = (2•5)(-5) = (2)(-5) • (5)(-5)
Equation at the end of step 4 :
5 1
(— • ((2)(-5)•(5)(-5))) ÷ ———————
1 (28•59)
Step 5 :
5
Simplify —
1
Equation at the end of step 5 :
)))1
———————
(28•59)
Step 6 :
Dividing exponents :
6.1 51 divided by 55 = 5(1 - 5) = 5(-4) = 1/54
Equation at the end of step 6 :
1 1
——————— ÷ ———————
(25•54) (28•59)
Step 7 :
1 1
Divide ——————— by ———————
(25•54) (28•59)
7.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 1 1 (28•59) ——————— ÷ ——————— = ——————— • ——————— (25•54) (28•59) (25•54) 1
Dividing exponents :
7.2 28 divided by 25 = 2(8 - 5) = 23
Dividing exponents :
7.3 59 divided by 54 = 5(9 - 4) = 55
Final result :
(23•55)
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