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Solution - Power equations

(7^{2} \cdot 43 \cdot 2^{23} \cdot 5^{22})

(7^2*43*2^23*5^22)

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "6.02" was replaced by "(602/100)".

Step 1 :

 1.1     10 = 2•5

(10)²³ = (2•5)²³ = 2²³ • 5²³

Equation at the end of step 1 :

   602
  (——— • (2²³•5²³)) • 70
   100

Step 2 :

            301
 Simplify   ———
            50

Equation at the end of step 2 :

   301
  (——— • (2²³•5²³)) • 70
   50

Step 3 :

Dividing exponents :

3.1 2²³ divided by 2¹ = 2^{(23 - 1)} = 2²²

Dividing exponents :

3.2 5²³ divided by 5² = 5^{(23 - 2)} = 5²¹

Equation at the end of step 3 :

  (7•43•2²²•5²¹) • 70

Step 4 :

Multiplying exponents :

4.1 7¹ multiplied by 7¹ = 7^{(1 + 1)} = 7²

Multiplying exponents :

4.2 2²² multiplied by 2¹ = 2^{(22 + 1)} = 2²³

Multiplying exponents :

4.3 5²¹ multiplied by 5¹ = 5^{(21 + 1)} = 5²²

Final result :

  (7²•43•2²³•5²²)

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Solution - Power equations

Step by Step Solution

Reformatting the input :

Step 1 :

Equation at the end of step 1 :

Step 2 :

Equation at the end of step 2 :

Step 3 :

Dividing exponents :

Dividing exponents :

Equation at the end of step 3 :

Step 4 :

Multiplying exponents :

Multiplying exponents :

Multiplying exponents :

Final result :

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