I am not sure how to do these 2 problems can someone show me.

Simplify the expression Write answers using exponents.

8^6/8^4*8^2

4^5*1/4^2 <---is by the 4 only

So you have (8^6)/((8^4)*(8^2)). I would start with the denominator. When you are multiplying exponents with the same base, you add the exponents. So the above equation becomes (8^6)/(8^6). This simplifies to 1.

For the second problem, it's slightly different. You have (4^5)/(4^2). Whenever you are dividing exponents by the same base, you subtract them. So the problem becomes 4^3, which is 64.

To simplify the first expression, we need to use the exponent rule for division. The rule states that when dividing two numbers with the same base, you subtract the exponents.

In this case, we have: 8^6/8^4*8^2

For the division part, we subtract the exponents of 8. So, 8^6/8^4 = 8^(6-4) = 8^2.

Now, we multiply this result by 8^2. We know that when multiplying two numbers with the same base, we add the exponents.

So, 8^2 * 8^2 = 8^(2+2) = 8^4.

Therefore, the simplified expression is 8^4.

To simplify the second expression, we have: 4^5*1/4^2.

First, we simplify the fraction 1/4^2. The denominator, 4^2, can be written as 4 * 4 = 16.

So, the expression becomes: 4^5 * 1/16.

To multiply, we simply add the exponents: 4^5 * 1 = 4^(5+0) = 4^5.

Therefore, the simplified expression is 4^5.