How do you expand brackets with powers?

Expanding brackets

Expanding brackets means multiplying everything inside the bracket by the letter or number outside the bracket. For example, in the expression 3 ( m + 7 ) both and 7 must be multiplied by 3:
Expanding brackets involves using the skills of simplifying algebra.
Expand 4 ( 3 n + y ) .

What is the rule for expanding brackets?

To expand a bracket means to multiply each term in the bracket by the expression outside the bracket. For example, in the expression 3 ( m + 7 ) , multiply both. 3 ( m + 7 ) = 3 × m + 3 × 7 = 3 m + 21 .

How do brackets affect exponents?

Distributing Exponents (Power Rule) : Example Question #5 Explanation: 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.

What is expanding double brackets?

Writing two brackets next to each other means the brackets need to be multiplied together. When expanding double brackets, every term in the first bracket has to be multiplied by every term in the second bracket. It is helpful to always multiply the terms in order so none are forgotten.

What to do when an exponent is raised to an exponent?

Simplify. Explanation: When an exponent is being raised by another exponent, we just multiply the powers of the exponents and keep the base the same.

What is the exponent bracket rule?

This may also be called the exponent bracket rule or indices bracket rule as powers, exponents and indices are all the same thing. Simplify (x 5) 4. So all you need to do is follow the rule given above by multiplying the powers together:

How to simplify expressions involving brackets and powers?

Here you will be shown how to simplify expressions involving brackets and powers. The general rule is: So basically all you need to do is multiply the powers. This may also be called the exponent bracket rule or indices bracket rule as powers, exponents and indices are all the same thing. Simplify (x 5) 4.

What is expanding exponent products rule?

Expanding Exponent Products. The Products Rule applies when we have more than one Base Item in the brackets. If there is only one Base item in the brackets, we use the Power of Power Rule. The Exponents Products Rule can look a lot like the Power of Power Rule, but always has two or more items in the brackets.

What does expanding brackets mean in math?

The first thing to understand about expanding brackets is this: is that if you ever see a number, algebraic term, or algebraic expression written directly before a bracket, such as 5 (4+b), then this means that everything inside the bracket is being multiplied by what’s in front of it.