The numerator is undefined, since 0 raised to the power of 0 is an undefined quantity. Therefore, the entire expression is undefined.

The numerator is undefined, since 0 raised to the power of 0 is an undefined quantity. Therefore, the entire expression is undefined.

Simplify the following expression:

To solve this question, we need to recall that when dividing exponents we subtract them.

When dividing coefficients, we treat them as regular division.

In this case, we can break up our question into two parts:

The coefficients will simply reduce to "2", because 16 divided by 8 is two

The r's are another story. We subtract, so we will get the following:

So, if we put our two parts back together, we get:

Based on the power rule for exponents we can write:

That means; to raise a power to a power we need to multiply the exponents. In addition, based on the product rule for exponents, in order to multiply two exponential terms with the same base we need to add their exponents:

So we can write:

in order to divide two exponents with the same base, we can keep the base and subtract the powers. So we get:

Based on the power rule for exponents we can write:

That means; to raise a power to a power we need to multiply the exponents. In addition, based on the product rule for exponents, in order to multiply two exponential terms with the same base we need to add their exponents:

So we can write:

in order to divide two exponents with the same base, we can keep the base and subtract the powers. So we get:

Based on the power rule, we know that in order to raise a power to a power we need to multiply the exponents, i.e.

.

Simplify the following expression:

To solve this question, we need to recall that when dividing exponents we subtract them.

When dividing coefficients, we treat them as regular division.

In this case, we can break up our question into two parts:

The coefficients will simply reduce to "2", because 16 divided by 8 is two

The r's are another story. We subtract, so we will get the following:

So, if we put our two parts back together, we get:

Based on the product rule for exponents in order to multiply two exponential terms with the same base, add their exponents:

So we can write:

Based on the power rule, we know that in order to raise a power to a power we need to multiply the exponents, i.e.

.

Based on the product rule for exponents in order to multiply two exponential terms with the same base, add their exponents:

So we can write: