# The Tutoring Center,Bear DE

## BLOG # Math Help: Understanding Exponents

05/22/2015
As children progress through school, they are likely going to face some subjects that don’t make sense to them. That is fine; different students excel in different areas. One subject a lot of kids struggle with is math. Math is constantly building on itself, so if a child doesn’t understand a concept and the class moves forward, it is more challenging to catch up. At The Tutoring Center in Bear, we offer academic programs designed to help keep students on track with their level for math and other subjects as well. There are also some ways to help with math at home. Here is a quick and useful guide to understanding exponents.

### Exponents

First, the exponent tells you how many times the base number is used as a factor. A base of six raised to the second power is called "six squared" and means "six times six." Six raised to the third power is called "six cubed" and means "six times six times six." The base can be any sort of number: a whole number, a decimal number, or a fraction can all be raised to an exponential power.

Here are some simple rules to use with exponents.

a1 = a
Any number raised to the power of one equals the number itself.

For any number (a), except 0, a0 = 1
Any number raised to the power of zero, except zero, equals one.

For any numbers a, b, and c, ab x ac = ab+c
To solve this problem, this multiplication rule tells us that we simply add the exponents when multiplying two powers with the same base.

Be sure to pay close attention to these common mistakes students often make when dealing with exponents.
Mistake! Do not multiply the base and the exponent.
Mistake! The multiplication rule only applies to expressions with the same base.
Mistake! The multiplication rule applies just to the product, not to the sum of two numbers (it’s called the multiplication rule).

Once a student understands the concept of exponential powers, they’ll be able to more easily comprehend other concepts of math like scientific notation, used to represent very large numbers, and how to use square roots. During the process of mastering math, contact our experts at  (302)-832-2400 for one-to-one instruction in Bear, or any additional math help we can provide!

### FREE CONSULTATION

Schedule your Free Diagnostic Assessment Today!