Simplify Algebraic Expressions with Indices Quiz
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Questions and Answers

Which of the following expressions can be simplified using the laws of indices?

  • (5𝑥 $% )# × 4𝑥𝑦 & ÷ (𝑥𝑦)$ (correct)
  • 𝑎$& × 2𝑎$
  • 3(+. + 3(+, + 3(
  • 6𝑎* 𝑏 $& ÷ 36𝑎# 𝑏 $
  • What is the value of 7&($% ?

  • %
  • *
  • &
  • .) (correct)
  • For which value of 𝑥 is the expression 3(+. + 3(+, + 3( divisible by 25?

  • 2
  • 1 (correct)
  • 4
  • 3
  • What is the simplified form of the expression (a) (b) .#

    <p>𝑎</p> Signup and view all the answers

    Which of the following expressions can be simplified using the laws of indices?

    <p>(7𝑥 $% )&amp; × (49$&amp; 𝑥𝑦)#</p> Signup and view all the answers

    Study Notes

    Simplifying Expressions Using Laws of Indices

    • The laws of indices can be used to simplify expressions involving exponents.
    • These laws allow for operations like multiplication, division, and raising powers to other powers.
    • The text presents an expression that can be simplified using these laws, but the specific expression is not provided.

    Finding the Value of an Expression

    • The text presents an expression with symbols: 7&($%.
    • To find its value, we need to understand the meaning of these symbols or the specific operation they represent.
    • Without that information, determining the value is impossible.

    Divisible by 25

    • The expression 3(+. + 3(+, + 3( involves addition and multiplication.
    • To find the value(s) of 𝑥 that make this expression divisible by 25, we need to analyze the pattern of divisibility by 25.
    • A number is divisible by 25 if the last two digits are divisible by 25.

    Simplifying the Expression

    • The text gives an expression: (a) (b) .#.
    • Without knowing the specific meaning of the symbols (a), (b), and #, we cannot simplify it.
    • The notation might represent operations or variables with unknown values.

    Identifying Expressions for Simplification

    • The text mentions expressions that can be simplified using the laws of indices.
    • This suggests a set of expressions is provided in a context that is not included in the text prompt.
    • To identify these expressions, we need to analyze the given set and apply the relevant laws of indices.

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    Description

    Test your knowledge on simplifying algebraic expressions involving indices in Chapter 4 of Indices, Surds, and Logarithms. Practice simplifying various algebraic expressions and strengthen your understanding of the laws of indices.

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