Questions and Answers
What is the value of $(36)^{1/6}$?
What is the result of $(0.03)^2$?
If $(0.03)^2 = 0.0009$, what does $(0.03)^2 - (0.0)$ equal?
Which of the following is equivalent to $(36)^{1/6}$?
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How would you express the result of $(0.03)^2 - (0.0)$ in scientific notation?
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Study Notes
Evaluating Expressions
- The value of ( (36)^{1/6} ) can be found by recognizing that ( 36 = 6^2 ). Thus, ( (36)^{1/6} = (6^2)^{1/6} = 6^{2/6} = 6^{1/3} ).
- ( (0.03)^2 ) can be calculated as ( 0.03 \times 0.03 = 0.0009 ), confirming the identity of these expressions.
Simple Subtraction
- The subtraction ( (0.03)^2 - (0.0) ) simplifies to ( 0.0009 - 0.0 = 0.0009 ).
Equivalent Expressions
- The expression ( (36)^{1/6} ) can be explored in terms of roots or exponents, leading to its equivalence with ( 6^{1/3} ) based on the calculations.
Scientific Notation
- The result ( 0.0009 ) can be expressed in scientific notation as ( 9 \times 10^{-4} ).
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Description
This quiz covers fundamental algebraic topics including the evaluation of exponents, specifically $(36)^{1/6}$, and operations with decimals. Additionally, it explores the concept of scientific notation through the example of $(0.03)^2 - (0.0)$. Test your understanding of these essential mathematical concepts.
