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ICSE Class 9 Algebra: indices — practice questions

Explore 24 free Algebra: indices questions in ICSE Class 9 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra: indices questions and exercises with answers

Showing questions 1–24 of 24.

In British English, an exponent is also known as what?Read the answer and worked solution →For a positive integer n, b raised to n represents what operation?Read the answer and worked solution →How is an exponent usually positioned relative to its base?Read the answer and worked solution →Multiplying powers with the same base results in what exponent?Read the answer and worked solution →Simplify the product 2^3 * 2^4 into a single power.Read the answer and worked solution →When raising a power to another power, what happens to exponents?Read the answer and worked solution →Evaluate the expression (3^2)^3 as a power of 3.Read the answer and worked solution →According to exponent rules, which expression equals (a * b)^n?Read the answer and worked solution →For any nonzero real number b, what is the value of b^0?Read the answer and worked solution →What is the numerical value of 5^0 + (-7)^0?Read the answer and worked solution →For a nonzero base b, how is b^(-n) expressed with a positive power?Read the answer and worked solution →Evaluate 4^(-2) as a rational fraction.Read the answer and worked solution →What is the simplified value of (2/3)^(-3)?Read the answer and worked solution →Divide 2^8 by 2^5 to find the resulting integer value.Read the answer and worked solution →For a nonnegative real x, x^(1/n) represents which quantity?Read the answer and worked solution →Calculate the result of 27^(2/3).Read the answer and worked solution →For positive real x and rational p/q, what does x^(p/q) equal?Read the answer and worked solution →Compute the value of 16^(-3/4).Read the answer and worked solution →Solve for x in the equation 2^(x + 3) = 32.Read the answer and worked solution →Find x if 3^(2x - 1) = 1/27.Read the answer and worked solution →Determine the value of x satisfying 4^(2x - 1) = 8^(x + 1).Read the answer and worked solution →In standard scientific notation m * 10^n, what is the range of |m|?Read the answer and worked solution →Express the decimal number 0.00045 in normalized scientific notation.Read the answer and worked solution →Multiply (3 * 10^4) by (2 * 10^5) in standard scientific form.Read the answer and worked solution →

Worked practice questions

In British English, an exponent is also known as what?

  1. The base
  2. The index
  3. The root
  4. The period
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Correct answer: B. The index

An exponent is referred to as the index in British English terminology.

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For a positive integer n, b raised to n represents what operation?

  1. Repeated addition
  2. Iterated division
  3. Repeated multiplication
  4. Iterated subtraction
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Correct answer: C. Repeated multiplication

Raising a base to a positive integer exponent corresponds to iterated multiplication.

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How is an exponent usually positioned relative to its base?

  1. Subscript on left
  2. Subscript on right
  3. Superscript on left
  4. Superscript on right
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Correct answer: D. Superscript on right

The exponent is usually written as a superscript to the right of the base.

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