Question

What is the value of 3¾ ÷ 2¹³/ ¹⁶​

Answer 1

Step-by-step explanation:

Instead of multiplying all this out, notice that the numerator is just 1 to 9 multiplied all together, which is 9! . Also in the numerator is 1000.

Similarly, the denominator is 2 to 10, multiplied out. Notice that multiplying by 1 makes no difference, so 2 to 10 is actually 10! .

Now we have fraction (9!∗1000)/10!.

Simplifying, all of 9! and 10! with the exception of 10 cancels out, because 10! is simply 9! times 10:

9∗8∗7∗6∗5∗4∗3∗2∗100010∗9∗8∗7∗6∗5∗4∗3∗2=100010.

So: 1000 / 10 = 100

Answer 2

Answer:

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