What is the value of the expression 2 point 8 multiplied by 10 to the power of 7 over 1 point 4 multiplied by 10 to the power of 3? 2.0 ⋅ 104 2.0 ⋅ 1010 1.4 ⋅ 104 1.4 ⋅ 1010

Your answer would be 2.0 × 10⁴.

We can first write out the fraction to make it easier to see how to get the



Because all terms in the numerator and denominator are being multiplied, we can just divide each term individually, which gives us:

2.8 ÷ 1.4 = 2


We know that this is true as the rule for dividing exponents with the same base is to subtract them, and 7 - 3 = 4.

Putting these two results together, we get the answer of 2.0 × 10⁴.

I hope this helps!