First, go back and review a few basics that you will need from exponentiation and indices that we will use in the examples to follow.

The key thing to remember is that x

Simplify:

a) In this case, there's nothing to cancel out. So just group all the multiplied "x's" together.

b) Simplifying a negative indexed exponent means that you need to put it in a form without a negative exponent.

c) As with problem b), you need to put this into a form without a negative exponent.

Simplify the following expressions.

There's no grouping to be done here, just cancelling out the common factors.

Simplify the following expressions.

(a) In this case, we'll need to cancel out some of the "y's". In addition, "6" and "4" have the common factor "2".

(b) Cancelling out needs to be done for the coefficients (the numbers), and the variables x, y and z.

Simplify the following expressions.

(a) (25x

(b) -(25x

(a) Anything by the power of 0 = 1.

(25x

(b) Again, any number by the power of 0 = 1.

-(25x

= -1

Simplify the following expressions.

Simplify the following expressions

Order isn't important in multiplication, so you can approach this problem in many different ways and still arrive at the same answer. I'll show you 2 different approaches to simplify each exponential expression.

(a) Square the outside, then simplify the result.

OR

Simplify the inside, then square the result.

(b) Multiply, then simplify the result.

OR

Simplify the insides, then multiply the results.

Simplify the following

There are many ways to simplify these exponential expressions. I'll illustrate 2 possible solutions for each. Take note that these aren't necessarily the most elegant or efficient solutions. If you can write better ones, please do take the time to send them in. Either type them out, or take a photo of your solution and send it in.

a)

Solution 1:

Solution 2:

b)

Solution 1:

Solution 2:

c)

Solution 1:

Solution 2:

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**simplifying exponential expressions **

Can you please help me with this question ,it's asking me to simplify the algebraic expression containing exponents however the exponents are way strange …

**Kevin** Not rated yet

In section 1 above, should the answer for c not be =2z to the power of four, not minus four as you have indicated?
Damien: Nice catch, Kevin :). Thank …

**Exponential Expressions** Not rated yet

How do you write an exponential expression in a table?
Damien: Did you have a specific example in mind?