GED Math : Exponents

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #51 : Exponents

Simplify:

Possible Answers:

Correct answer:

Explanation:

Recall that when exponents are raised to another exponent, you will need to multiply the exponents.

We can then start simplifying .

Now recall that when multiplying numbers with the same base, you will need to add the exponents together.

Thus,

Example Question #51 : Exponents

Simplify 

Possible Answers:

Correct answer:

Explanation:

This problem involves multiplying with exponents. When doing so, you have to add the exponents together. Let's break up this problem into three parts - the coefficient (the number in front of the variables), and then the two variables,  and .

With the coefficients, you simply multiply them together. 

With the variable , you have to add the exponents together.

You do the same thing with the variable .

Lastly you combine the three parts and get your final answer. 

Example Question #51 : Exponents

Simplify:

Possible Answers:

Correct answer:

Explanation:

Recall your exponent rules and order of operations. Start by simplifying the parenthetical term.

Recall that when you have terms with the same base but different exponents being divided, you will need to subtract the exponent found in the denominator from the exponent found in the numerator.

Example Question #54 : Exponents

Simplify the following expression:

Possible Answers:

Undefined.

Correct answer:

Explanation:

Simplify the following expression:

 

To simplify this expression, we need to cancel out our common terms. In order to do so, we need to subtract the exponents, and treat the coefficients (whole numbers) like a regular fraction.

So, we can rewrite our expression as follows:

Now, we can simplify this further by dropping the exponent on the x (an exponent of 1 is the same as the variable by itself). And by dropping the y entirely (an exponent of 0 means that the term is just 1).

So, we get: 

Example Question #51 : Exponents

Simplify

Possible Answers:

It is already simpified

Correct answer:

Explanation:

Recall that when you have a power to a power, you can simplify by multiplying the powers. Let's use that to simplify the numerator and the denominator. 

Now recall that when you have two powers with the SAME base in the numerator and denominator, you can simplify by subtracting the exponents. 

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