Respuesta :

The answer is 2.45 × 10⁵

7(3.5 × 10⁴) = 7 * 3.5 × 10⁴
                   = 24.5 × 10⁴
                   = 2.45 × 10 × 10⁴
                   = 2.45 × 10¹⁺⁴
                   = 2.45 × 10⁵

Answer:

The answer is:

[tex]2.45\times 10^5[/tex]

Step-by-step explanation:

We are asked to expression the value of the given expression:

[tex]7(3.5\times 10^4)[/tex] in scientific notation.

We know that any number in scientific notation is expressed as:

So the number is written in two parts:

  • Just the digits (with the decimal point placed after the first digit), followed by
  • × 10 to a power that puts the decimal point where it should be .

Now the value of [tex]7(3.5\times 10^4)[/tex] is:

[tex]7(3.5\times 10^4)=7\times 3.5\times 10^4\\\\7(3.5\times 10^4)=24.5\times 10^4[/tex]

in scientific notation the number [tex]24.5\times 10^4[/tex] is expressed as:

[tex]2.45\times 10^5[/tex]

Hence, the scientific notation of [tex]7(3.5\times 10^4)[/tex] is:

[tex]2.45\times 10^5[/tex]

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