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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

User Ftexperts
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2 Answers

1 vote

Answer:

The answer is 2.0 · 10^4

Explanation:

Hope this helps! : ) <3

User Yanis
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5 votes
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!
User Manan Mehta
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