# Which applies the power of a product rule to simplify

## Which applies the power of a power rule property to simplify the expression?

The power of a power rule says, when a number with an exponent is raised to another exponent, we can simplify the exponent by

**keeping the base and multiplying the exponents**. The general form of the rule is (am)n=am·n. For example, to find the power of the power of the expression, (x2)7=x2·7=x14.## What is the rule for power of product?

The power of a product rule tells us that we can

**simplify a power of a power by multiplying the exponents and keeping the same base.**## How do you rewrite an expression as a power of a product?

To find a power of a product,

**find the power of each factor and then multiply**. In general, (ab)m=am⋅bm. am⋅bm=(ab)m. In other words, you can keep the exponent the same and multiply the bases.## What is the difference between the product rule and the power rule?

The power rule to follow when finding the

**derivative of a variable base**, raised to a fixed power. … How the product rule allows us to find the derivative of a function that is defined as the product of another two (or more) functions.## How do you simplify the product rule?

## How do you simplify exponents?

## What is the product of powers rule for exponents?

Lesson Summary

When you are multiplying like terms with exponents, use the product of powers rule as a shortcut to finding the answer. It states that when **you are multiplying two terms that have the same base**, just add their exponents to find your answer.

## What is the power rule in exponents?

The Power Rule for Exponents:

**(a**To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: x^{m})^{n}= a^{m}^{*}^{n}.^{–}^{n}= 1/x^{n}. Invert the base to change a negative exponent into a positive.## Which rule is used to simplify 34 2?

**The power rule**says that if we have an exponent raised to another exponent, you can just multiply the exponents together. For example, suppose we wanted to simplify (34)2. Our rule tells us: (34)2=34⋅2=38 And to prove this we can write out the multiplication.

## What is an example of product of power?

## How do you simplify?

**To simplify any algebraic expression, the following are the basic rules and steps:**

- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.

## How do you simplify powers of products and quotients?

## Why can’t you use the product of powers rule to simplify this expression explain 34 28?

Why can’t you use the product of powers rule to simplify this expression? Explain.

**They are not the same number**. to do that it would have to be 3 and a 3 or 2 and a 2 can not combine unlike terms.## How do you find the product of exponents?

## How do you simplify the quotient rule?

## Which rules of exponents will be used to evaluate the expression?

Divide the coefficients and subtract the exponents of matching variables. All of these rules of exponents—

**the Product Rule**, the Power Rule, and the Quotient Rule—are helpful when evaluating expressions with common bases.## Which is the simplified form of this expression?

## Which is the value of this expression when a =- 2 and B =- 3?

IF your expression “a-2 b-3” is meant to be “(a-2)(b-3)” then Bill is correct, and the answer is

**-5**when a is 3 and b is -2. However, if you mean”a – 2b -3″ then, substituting the values you gave for a=3 and b=-2, that would be “3 – 2(-2) -3” which is the same as “3 +4 -3” and the expression evaluates to 4.## How do you simplify exponents in parentheses?

## How does the use of exponents simplify the way we write expressions?

Any non-zero number or variable raised to a power of 0 is equal to 1. When dividing two terms with the same base, subtract the exponent in the denominator from the exponent in the numerator: Power of a Power: To raise a power to a power,

**multiply the exponents**.