Multiply. enter your answer in scientific notation. (1.9 × 10 to the 3rd power)(6.4 × 10 to the 18th power) =

The answer is:  "12.16 * 10²² " .

Explanation:

Given:

  (1.9 * 10³) * (6.4 × 10¹⁸)  ; Multiply to find the answer in "scientific notation" ;

Note:

  (1.9 * 10³) * (6.4 × 10¹⁸) ;

= 1.9 * 10³ * 6.4 * 10¹⁸  ;

= 1.9 * 6.4 * 10³ * 10¹⁸  ;

Note the following property of exponents:

  xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾  ;

 10³ * 10¹⁸ = 10⁽³⁺¹⁸⁾ = 10²¹ ;

So; we have:

  1.9 * 6.4 * 10²¹ ;

= (1.9 * 6.4) * 10²¹ ;

= 12.16 * 10²¹ ; 

To write a number in scientific notation, there must be a single digit whole number; followed by {a decimal point and any significant figures to the left or right of that number}; multiplied by:  10^(raised to the exponential power of the appropriate positive or negative number).

So;  we have:

12.16 * 10²¹ .

The "12.16" portion becomes:  "1.216" ; and the "10²¹ " becomes "10²² "since an extra decimal place has to be moved to the right).

 The answer is:  "12.16 * 10²² " .