SAT Math : How to divide exponents

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #143 : Exponential Operations

Evaluate 

Possible Answers:

Correct answer:

Explanation:

Although we have different bases, we know that . Therefore we know that 

Example Question #144 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 6-2, to get a new exponent of 4:

Example Question #145 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 12-6, to get a new exponent of 6:

Example Question #146 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 7-2, to get a new exponent of 5:

Example Question #147 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 11-8, to get a new exponent of 3:

Example Question #148 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 18-17, to get a new exponent of 1:

Example Question #149 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 9-3, to get a new exponent of 6:

Example Question #150 : Exponential Operations

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting 2-1, to get a new exponent of 1:

Example Question #31 : How To Divide Exponents

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting (3/4)-(1/4), to get a new exponent of (2/4) or (1/2):

Example Question #32 : How To Divide Exponents

Solve:

Possible Answers:

Correct answer:

Explanation:

When dividing expressions with the same variable, combine terms by subtracting the exponents, while leaving the variable unchanged. For this problem, we do that by subtracting (3/5)-(2/5), to get a new exponent of (1/5):

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