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: (am)n = am*n. To raise a number with an exponent to a power, multiply the exponent times the power. Negative Exponent Rule: xn = 1/xn. 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:
  1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
  2. Use the exponent rule to remove grouping if the terms are containing exponents.
  3. Combine the like terms by addition or subtraction.
  4. 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.