GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #31 : Exponents

Evaluate  and . Which statement is true of these two values?

Possible Answers:

 and 

 and 

Correct answer:

 and 

Explanation:

 has 6, an even number, as an exponent, so  is a positive number, and it can be calculated by taking sixth power of 3.

 is the (negative) opposite of the sixth power of 3.

Therefore, 

and

.

 

Example Question #502 : Ged Math

Evaluate:   

Possible Answers:

Correct answer:

Explanation:

In order to solve, we will need to eliminate the negative exponent.  Use the following property of negative exponents.

Simplify the denominator.

Convert the division sign to multiplication and take the reciprocal of the second term.

The answer is:  

Example Question #503 : Ged Math

Combine the following:

Possible Answers:

Correct answer:

Explanation:

To multiply variables with exponents, we will use the following formula:

 

Now, let’s combine the following:

Example Question #504 : Ged Math

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To divide variables with exponents, we will use the following formula:

 

So, we get

Example Question #501 : Ged Math

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate the second term first.

Replace this term.

The answer is:  

Example Question #506 : Ged Math

Solve:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term using order of operations.  We can expand the terms in parentheses to eliminate the exponents.

Simplify the terms.

The answer is:  

Example Question #504 : Ged Math

Simplify the following:

Possible Answers:

Correct answer:

Explanation:

To multiply like terms with exponents, we will use the following formula:

Now, given the problem

we can solve. We get

Example Question #33 : Exponents

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

In order to solve, we can simplify by multiplying the powers together according to the rule of exponents.

The negative exponent can be rewritten as a fraction.

The answer is:  

Example Question #502 : Ged Math

What is the product of ?

Possible Answers:

Correct answer:

Explanation:

Start by distributing the exponents into their respective terms. Recall that when an exponent is raised to an exponent, you will need to multiply the exponents together.

Next, multiply like terms together. Recall that when you multiply numbers that have the same base, you will need to add the exponents together.

Example Question #175 : Complex Operations

What is the product of  and ?

Possible Answers:

Correct answer:

Explanation:

Since the question asks for the product, we will need to multiply the two terms.

Start by distributing the exponents into the proper terms. Recall that when an exponent is raised to another exponent, you will need to multiply the two exponents together.

Next, multiply like terms together. Recall that when you multiply numbers that have the same base but different exponents, you will need to add the exponents together.

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