Math Problem Statement

how did you solve the exponent

Solution

To solve an exponent problem, here's a general approach:

1. Understanding the Problem:

Identify the base and the exponent in the expression. For example, in 232^3, the base is 2, and the exponent is 3.

2. Applying the Exponent:

The exponent tells you how many times to multiply the base by itself. So, for 232^3: 23=2×2×22^3 = 2 \times 2 \times 2

3. Multiplying:

Now, perform the multiplication: 2×2=42 \times 2 = 4 4×2=84 \times 2 = 8 Thus, 23=82^3 = 8.

4. General Formulation:

For any base aa and exponent nn, the expression ana^n means: an=a×a××a(n times)a^n = a \times a \times \ldots \times a \quad (\text{n times})

This is how an exponent is solved, by repeated multiplication of the base.

Would you like more details or have any other questions?

Related Questions:

  1. How do you solve negative exponents?
  2. What is the rule for multiplying exponents with the same base?
  3. How do you simplify expressions with fractional exponents?
  4. How are exponents distributed over addition or subtraction?
  5. What is the meaning of a zero exponent?

Tip:

When multiplying exponents with the same base, you add the exponents. For example, am×an=am+na^m \times a^n = a^{m+n}.

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Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication
Mathematical Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7