Algebra Class 10

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Questions and Answers

What is the value of $(36)^{1/6}$?

  • 6 (correct)
  • 2
  • 3
  • 1

What is the result of $(0.03)^2$?

  • 0.0009 (correct)
  • 0.009
  • 0.0003
  • 0.03

If $(0.03)^2 = 0.0009$, what does $(0.03)^2 - (0.0)$ equal?

  • 0.03
  • 0.009
  • 0.0003
  • 0.0009 (correct)

Which of the following is equivalent to $(36)^{1/6}$?

<p>$6^{1/3}$ (C)</p> Signup and view all the answers

How would you express the result of $(0.03)^2 - (0.0)$ in scientific notation?

<p>$9 imes 10^{-4}$ (A)</p> Signup and view all the answers

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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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