4 to the 8th power times 4 to the negative 6th? EXPLANATION PLEASE!

So the answer to the question is 16. Now here is the explanation.

Step-by-step explanation:

1. First you do 4 to the 8th power which is 65,536

2. So now you have to do 4 to the negative 6th. First you have to understand that going to the negative power is opposite of just being a positive power. So the opposite of multiplying is dividing. This might confuse you further but stick with me.Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents. Note that the order in which things are moved does not matter.

3. So you actually first think of the problem as 4 to the 6th power. You calculate that, and the answer is 4,096. Then you know 4,096 = 4,096 over 1.  You flip that and you get 1 over 4,096. So 4 to the negative 6th power in 1 over 4,096, which is also  0.000244 in decimal form.

4. Now you can multiply both sums to get 16. Or you can also think about it this way(way easier)4 to the 8th power is 4 * 4 * 4 *4 *4 *4*4*4 and 4 to the negative 6th power is 1 over 4*4*4*4*4*4. So you cancel out the 4s and your left with 4*4.  4*4= 16. So the answer is 16.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490