When multiplying exponents, add the superscripts.

When dividing expondents, subtract the superscripts.

Thus, all you need to do here is:

 .

When dividing similar bases with an exponent, subtract the powers.

When multiplying exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can add the exponents.

When multiplying exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can add the exponents.

Remember that when adding a negative number to a positive number, we take the sign of the greater number and treat it as a subtraction problem. Since  is greater than  and is positive, our answer is positive. We will treat it as a subtraction problem. 

When multiplying exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can add the exponents.

Remember that when adding a negative number to a negative number, we add the addends and place a negative sign in front of the total. 

Remember that when adding a negative number to a positive number, we take the sign of the greater number and treat it as a subtraction problem. Since  is greater than  and is negative, our answer is negative. We will treat it as a subtraction problem. 

When dividing exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can subtract the exponents.

When dividing exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can subtract the exponents.

These factors have different bases; therefore, we cannot simplify any further. 

The answer is as follows:

When dividing exponents, we must first check to see if the factors have the same base. If they have the same bases, then we can subtract the exponents.

Remember that subtracting a negative number is the same as adding a positive number.

Although they have different bases, they do have the same exponent. We can essentially divide the base but keep the exponent constant.

The answer is as follows:

Although we have different bases, there is a commonality between base  and .

We can convert them all to base . 

 and 

Now, let's figure out the exponents after we converted the factors to base  by creating proportions.

 The top of the right fraction represents exponent of base . The bottom of the left fraction represents exponent of base . 

When we cross-multiply we get . 

 The top of the right fraction represents exponent of base . The bottom of the left fraction represents exponent of base . 

When we cross-multiply we get . 

We now have the same base in the factors:  and . 

With same bases, we can subtract the exponents.