Question

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

Answer 1

The answer is 2.0 · 10^4

Explanation:

Hope this helps! : ) <3

Answer 2

Your answer would be 2.0 × 10⁴.

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


`\frac{2.8 \: * \: {10}^(7) }{1.4 \: * \: {10}^(3) }`

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

`{10}^(7)/ \: {10}^(3) = \: {10}^(4)`

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!