In the context of mathematical expressions, which of the following statements ab

Practice Questions

Q1
In the context of mathematical expressions, which of the following statements about exponents is true?
  1. Exponents can only be positive integers.
  2. The product of two numbers with the same base is the sum of their exponents.
  3. Exponents can be ignored in calculations.
  4. Exponents are irrelevant in algebra.

Questions & Step-by-Step Solutions

In the context of mathematical expressions, which of the following statements about exponents is true?
  • Step 1: Understand what an exponent is. An exponent shows how many times a number (the base) is multiplied by itself.
  • Step 2: Identify the base in the expression. For example, in 2^3, the base is 2.
  • Step 3: Look at the exponents. In the expression 2^3 * 2^4, the exponents are 3 and 4.
  • Step 4: Apply the law of exponents for multiplication. When you multiply two numbers with the same base, you add their exponents.
  • Step 5: Calculate the sum of the exponents. In this case, 3 + 4 = 7.
  • Step 6: Write the result using the base and the new exponent. So, 2^3 * 2^4 = 2^(3+4) = 2^7.
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