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10 Must Do Exponent Questions For GMAT DS - Boost Your Score With These Powerhouse Problems
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When it comes to the GMAT Data Sufficiency (DS) section, mastering exponent questions can make a world of difference in your score. Exponents are a fundamental topic in mathematics that often appears in the GMAT, challenging test-takers with their intricate properties and applications.
In this article, we present you with 10 must-do exponent questions for the GMAT DS section. Each question is carefully designed to test your understanding of exponents while sharpening your problem-solving skills. These questions cover a range of difficulties and concepts, allowing you to master this crucial topic once and for all.
1. The Classic Exponent Question
Question: What is the value of 4^(2x) if 2^(3x) = 32?
5 out of 5
Language | : | English |
File size | : | 2982 KB |
Screen Reader | : | Supported |
Print length | : | 602 pages |
Lending | : | Enabled |
This question tests your ability to manipulate exponents and solve for an unknown variable. Remember the properties of exponents and apply them diligently to solve this problem.
2. Exponents and Radicals
Question: If √(5^9) = 5^x, what is the value of x?
This question delves into the relationship between exponents and radicals. Use your knowledge of exponents and simplify the expression to determine the value of x.
3. The Power of Exponential Growth
Question: A bacteria colony doubles in size every hour. If the colony started with 1,000 bacteria, how many bacteria will be present after 5 hours?
This question demonstrates exponential growth and its application in real-world scenarios. Understand the concept of exponential growth and apply it to solve this problem effectively.
4. Solving for Exponents
Question: If (2^x)(4^y) = 1024 and x + y = 8, what is the value of x?
This question requires you to solve for exponents using the given equations. Apply your algebraic skills and exponents knowledge to find the value of x.
5. Negative Exponents
Question: What is the value of 2^(-3)?
Negative exponents can be tricky, but understanding their rules is crucial to GMAT success. Simplify the expression and determine the value of 2^(-3).
6. The Power of Zero
Question: What is the value of 5^0?
Zero as an exponent has its own set of rules. Understand them and apply them to solve this question involving the power of zero.
7. Exponent Inequalities
Question: If 3^a > 3^b, which of the following is true?
Exponent inequalities can be challenging, but a solid understanding of the properties of exponents can help you crack them. Analyze the given inequality and determine the correct option.
8. Fractional Exponents
Question: If (27^(2/3))^x = 81, what is the value of x?
Dealing with fractional exponents requires a solid grasp of their properties. Simplify the expression and solve for x to find the value that satisfies the given equation.
9. Exponents and Logarithms
Question: If log(base 2) of (2^x) = 4, what is the value of x?
Understanding the connection between exponents and logarithms is crucial for solving complex GMAT problems. Use the properties of logarithms to solve this question and determine the value of x.
10. Advanced Exponent Manipulation
Question: If (4^x)(8^y) = (2^10), what is the value of x + y?
This question challenges you to manipulate exponents and variables. Apply your algebraic and exponents skills to find the value of x + y that satisfies the equation.
By attempting and mastering these 10 must-do exponent questions for the GMAT Data Sufficiency section, you'll enhance your problem-solving abilities and gain confidence in dealing with exponents. Remember to practice these questions thoroughly, as repetition is key to cementing your understanding and boosting your score.
5 out of 5
Language | : | English |
File size | : | 2982 KB |
Screen Reader | : | Supported |
Print length | : | 602 pages |
Lending | : | Enabled |
Preparing for the GMAT? Here are 10 Must Do Questions. These 10 Questions have been picked to teach you the 10 most common errors that applicants make on Exponents on the GMAT DS Questions. Best of Luck! Happy Learning!
Better Prep. Better Scores. Better Schools.
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