ER: Practice SET-5
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ER: Practice SET-4
coming soon
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ER: Practice SET-3
Exponent & Root: Level 3 1. If \( \frac{125^{x+2}}{25^{2x-1}} = 5 \), what is the value of \(x\)? 3 4 5 7 8 Check Solution (D): Convert all terms to base 5. \(125 = 5^3\) and \(25 = 5^2\). \( \frac{(5^3)^{x+2}}{(5^2)^{2x-1}} = 5^1 \) \( \frac{5^{3x+6}}{5^{4x-2}} = 5^1 \) \( 5^{(3x+6) – (4x-2)} = 5^1…
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ER: Practice SET-2
Exponent & Root: Level 2 1. If \(3^x + 3^{x+1} = 108\), what is the value of \(x\)? 1 2 3 4 9 Check Solution (C): Factor out the smallest term, \(3^x\). \(3^x(1 + 3^1) = 108\) \(3^x(1 + 3) = 108\) \(3^x(4) = 108\) \(3^x = 108 / 4 = 27\) Since \(27 =…
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ER: Practice SET-1
Exponent & Root: Level 1 1. What is the value of \(3^2 \times 3^3\)? 9 27 81 243 729 Check Solution (D): When multiplying with the same base, we add the exponents. \(3^2 \times 3^3 = 3^{(2+3)} = 3^5 = 243\). 2. What is the value of \( \frac{5^6}{5^4} \)? 1 5 25 125 625…
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ER: Extended Concept
Exponents & Roots — Comprehensive Concept Explanation Exponents (or powers) express repeated multiplication of a base number. Roots are the inverse operations of exponents, representing the number that produces the given base when raised to a power. Understanding their rules is fundamental for algebraic simplification, equations, and GMAT/GRE problem solving. 1. Basic Laws of Exponents…
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ER: Test-2
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ER: Test-DS
Student Login Required The following content is exclusively available to MKS admitted students upon logging in with their MKS user ID.Not enrolled yet? Join MKS Education for expert DSAT preparation.