Laws of Exponents

Students seem to have a lot of trouble remembering the basic rules of exponents. On standardized tests such as the ACT and SAT, you can often do problems involving exponents by using some basic strategies that avoid using these rules altogether. Using the exponent laws, however, usually leads to the quickest solutions. Students that are trying to get a perfect ACT or SAT math score will want to become more proficient in using these laws of exponents. Here is a basic review.

Now let’s try a level 5 question involving exponents.

Level 5 Exponents Question

If y = 7^x, then which of the following expressions is equivalent to 49^x − 7^x+2  for all positive integer values of x?

A) y²
B) y² − y
C) y² − 7y
D) y² − 49y

You can see solutions to this problem here: Level 5 Exponents Question with Solutions

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