# What is the difference between exponents with and without parentheses?

## What is the difference between exponents with and without parentheses?

If the base is in parentheses, as in our first case, the exponent affects everything that is inside the parenthesis, that is, the sign and the number. However, if the base is not in parentheses, as in the second case, the exponent affects only the immediate value to the left, that is, only the number, without the sign.

### How do you simplify polynomials with parentheses?

Polynomials can be simplified by using the distributive property to distribute the term on the outside of the parentheses by multiplying it by everything inside the parentheses. You can simplify polynomials by using FOIL to multiply binomials times binomials.

#### How do you solve distributive property using multiplication?

Distributive property with exponents

1. Expand the equation.
2. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
3. Combine like terms.
4. Solve the equation and simplify, if needed.

Is multiplication left distributive over subtraction?

The distributive property of multiplication over subtraction is like the distributive property of multiplication over addition. You can subtract the numbers and then multiply, or you can multiply and then subtract as shown below. This is called “distributing the multiplier.”

What are parentheses in math?

parentheses. • a pair of symbols used to enclose sections of a. mathematical expression, often called brackets. • whatever is inside parentheses or brackets. needs to be done first.

## How do you simplify algebraic terms?

Here are the basic steps to follow to simplify an algebraic expression:

1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants.

### What do parentheses mean in exponents?

Correct answer: An exponent outside of a parentheses means the entire quantity is being raised to that power. In other words, the quantity inside the parentheses is being multiplied by itself the number of times the outside exponent says.

#### How do you explain the distributive property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

How do you simplify brackets?

Removing brackets

1. To remove brackets, multiply the term on the outside of the bracket with each term inside the brackets.
2. Here, we combine multiplying out brackets and collecting like terms, to simplify algebraic expressions.
3. Have a look at the example questions below.

Where are parentheses used?

Parentheses are used to enclose incidental or extra information, such as a passing comment, a minor example or addition, or a brief explanation. The writer may choose to put additional information within parentheses or to set off the text using dashes or commas.