Multiplication and Exponents

[apettit]

I saw this on a practice test:

5^11 x 4^20 = 2 x 10^n What does n equal?

Does n = 32?

Thanks!

[reiserchen]

is ^ = divided? if so I would say:

5^11*4^20 = 200^N

1^11= 200^N

N= 2200?

[kevin]

I saw this on a practice test:

5^11 x 4^20 = 2 x 10^n What does n equal?

Does n = 32?

Thanks!

Remember that for the two sides to be equal (given that n is an integer), the power of 5 or each side must be the same:

Also, you could write the left side in terms of 10

I don't think this question is properly written, can you check it?

(5^21)*(4^11)=2*(10^n)

Comparing the powers of 5 on both sides (10 = 5 x 2 ), n= 21

OR

4^11 = 2^22

5^21 x 2^22 = 10^21 x 2