Solution - Power equations
(2^7*5^6*7)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "^-4" was replaced by "^(-4)".
(2): "2.7" was replaced by "(27/10)". 2 more similar replacement(s)
Step 1 :
1.1 10 = 2•5
(10)-4 = (2•5)(-4) = (2)(-4) • (5)(-4)
Equation at the end of step 1 :
378 27
(———•(103))——•((2)(-4)•(5)(-4)))
100( 10
Step 2 :
27
Simplify ——
10
Equation at the end of step 2 :
378 27
(——— • (103)) ÷ (—— • ((2)(-4)•(5)(-4)))
100 10
Step 3 :
Multiplying exponents :
3.1 21 multiplied by 24 = 2(1 + 4) = 25
Raising to a Power :
3.2 51 multiplied by 54 = 5(1 + 4) = 55
Equation at the end of step 3 :
378 27
(——— • (103)) ÷ ———————
100 (25•55)
Step 4 :
4.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step 4 :
378 27
(——— • (23•53)) ÷ ———————
100 (25•55)
Step 5 :
189
Simplify ———
50
Equation at the end of step 5 :
189 27
——— • (23•53)) ÷ ———————
50 (25•55)
Step 6 :
Dividing exponents :
6.1 23 divided by 21 = 2(3 - 1) = 22
Dividing exponents :
6.2 53 divided by 52 = 5(3 - 2) = 51 = 5
Equation at the end of step 6 :
378027
———————
(25•55)
Step 7 :
27
Divide 3780 by ———————
(25•55)
Multiplying exponents :
7.1 22 multiplied by 25 = 2(2 + 5) = 27
Multiplying exponents :
7.2 51 multiplied by 55 = 5(1 + 5) = 56
Canceling Out :
7.3 Canceling out 33 as it appears on both sides of the fraction line
Final result :
(27•56•7)
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