Solution - Power equations
(3*7*2^222*5^223)/19^223=7.22997*10^-62
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "1.9" was replaced by "(19/10)". 2 more similar replacement(s)
Step 1 :
19
Simplify ——
10
Equation at the end of step 1 :
119 19
{———}221 ÷ (2•(——2))
(10 10
Step 2 :
2.1 10 = 2•5 (10)2 = (2•5)2 = 22 • 52
Equation at the end of step 2 :
19 192
{——}221 ÷ (2 • ———————)
10 (22•52)
Step 3 :
Raising to a Power :
3.1 21 divided by 22 = 2(1 - 2) = 2(-1) = 1/21 = 1/2
Equation at the end of step 3 :
19 361
{——}221 ÷ ———
10 50
Step 4 :
19
Simplify ——
10
Equation at the end of step 4 :
119 361
(———)221) ÷ ———
(10 50
Step 5 :
5.1 10 = 2•5 (10)221 = (2•5)221 = 2221 • 5221
Equation at the end of step 5 :
2119221 361
——————————— ÷ ———
(2221•5221) 50
Step 6 :
19221
Divide 21 by ———————————
(2221•5221)
Equation at the end of step 6 :
(3•7•2221•5221) 361
——————————————— ÷ ———
19221 50
Step 7 :
(3•7•2221•5221) 361
Divide ——————————————— by ———
19221 50
7.1 Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
(3•7•2221•5221) 361 (3•7•2221•5221) 50 ——————————————— ÷ ——— = ——————————————— • ——— 19221 50 19221 361
Multiplying exponents :
7.2 2221 multiplied by 21 = 2(221 + 1) = 2222
Multiplying exponents :
7.3 5221 multiplied by 52 = 5(221 + 2) = 5223
Multiplying exponents :
7.4 19221 multiplied by 192 = 19(221 + 2) = 19223
Final result :
(3•7•2222•5223)
——————————————— = 7.22997 • 10-62
19223
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