Podcast
Questions and Answers
What is the simplified value of $x$ when $x = rac{(3^2)}{(2^2)} imes rac{(2^4)}{(3^4)}$?
What is the simplified value of $x$ when $x = rac{(3^2)}{(2^2)} imes rac{(2^4)}{(3^4)}$?
How is $x^{-2}$ expressed using the properties of exponents?
How is $x^{-2}$ expressed using the properties of exponents?
Which of the following represents the correct calculation of $x^{-2}$ if $x = rac{3^6}{2^6}$?
Which of the following represents the correct calculation of $x^{-2}$ if $x = rac{3^6}{2^6}$?
What happens to the base when applying the exponent $x^{-2}$ to $x = rac{3}{2}$?
What happens to the base when applying the exponent $x^{-2}$ to $x = rac{3}{2}$?
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Given $x = rac{3^6}{2^6}$, what is the value of $(2/3)^{12}$ in relation to $x^{-2}$?
Given $x = rac{3^6}{2^6}$, what is the value of $(2/3)^{12}$ in relation to $x^{-2}$?
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Study Notes
Problem 63
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Given the equation x = (3/2)² × (2/3)⁻⁴
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Find the value of x⁻²
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Solution:
- x = (3/2)² × (2/3)⁻⁴
- Using the rule a⁻ⁿ = 1/aⁿ
- x = (3/2)² × (3/2)⁴
- x = (3/2)²⁺⁴ = (3/2)⁶
- x⁻² = 1/x² = (2/3)¹²
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Description
This quiz covers properties of exponents and simplification of fractional expressions, focusing on the calculation of $x$ as well as $x^{-2}$. It explores how to express negative exponents using the quotient of bases and determines the value of expressions relating to given values of $x$. Test your understanding of these concepts with this engaging quiz.