# High School Math : How to use the power rule for exponents in pre-algebra

## Example Questions

### Example Question #1 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify the exponential expression below.

Explanation:

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

### Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

What is the value of ?

Explanation:

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.

### Example Question #1 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify .

Explanation:

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

### Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify the expression.

Explanation:

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

### Example Question #5 : How To Use The Power Rule For Exponents In Pre Algebra

What is  simplified?

Explanation:

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 .

### Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

What is  simplified?

Explanation:

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 .

### Example Question #2 : How To Use The Power Rule For Exponents In Pre Algebra

What is the value of 93?

Explanation:

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.

### Example Question #3 : How To Use The Power Rule For Exponents In Pre Algebra

Which of the following is an alternate positive expression of 4-3?

Explanation:

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.

### Example Question #9 : How To Use The Power Rule For Exponents In Pre Algebra

Simplify

Explanation:

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 .

Simplify .