How to use the power rule for exponents in pre-algebra - Math

The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.

When an exponent expression is raised by another exponent, you can multiply the exponents:

Exponents are a way of expressing the repeated multiplication of the same value. An exponent describes how many times a value is to be multiplied by itself.

To get rid of the negative exponent, find the inverse of , which is .

, so the final answer is .

According to the power rule of exponents, you multiply the exponents when you raise a power to a power.

The power rule says that an exponent to the power of another exponent gets multiplied. We can think of as , in which case we see that the answer is because multiplying the same numbers with different exponents adds the exponents.

The power rule of exponents states than an exponential term raised to another exponent can be simplified by multiplying the exponents together.

When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.

If you think about it is equivalent to

So we multiply by to get the power of the answer

The answer is .

When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.

So we multiply by to get the power of the answer as .

The answer is .

When raising a polynomial to a power, you multiply the exponent inside the parentheses by the power outside of the parentheses.

So we multiply by to get the power of the answer, which is .

The answer is .

When raising an exponent to another exponent you multiply the exponent inside the parentheses by the exponent outside of the parentheses.

So we multiply by to get the final exponent, which is .

The answer is .

When raising a polynomial to a power, multiply the polynomial inside the parentheses by the power outside of the parentheses.

We multiply by to get the power of the answer, .

The answer is .

According to the power rule for exponents, we can simplify and

When raising a polynomial to a power you multiply the polynomial inside the parentheses by the power outside of the parentheses.

So we multiply by to get the power of the answer, .

The answer is .

Recall that when we have the exponent of an expression with an exponent, as in this case, we multiply these exponents. Thus, we have that:

When raising a power to a power, multiply the power inside the parentheses by the power outside the parentheses. In this case, multiply by to find the power of the answer, .

You can simplify negative exponents in order to work only with positive numbers. Simply make the negative number positive and divide 1 by the entire expression.

The power rule of exponents states that when an exponential term is raised to another power, we multiply the exponents to simplify.

When an exponent expression is raised by another exponent, you can multiply the exponents: