Math Problem Statement

Tuliskan perkalian berulang berikut dalam bentuk bilangan berpangkat!a. 6×6×6 b. M×m×m×m c. 4×4×4×4×4

Tuliskan perkalian berulang berikut dalam bentuk bilangan berpangkat!

Solution

Here’s how you write the repeated multiplications as exponentiated numbers:

a. 6×6×66 \times 6 \times 6 becomes 636^3

b. m×m×m×mm \times m \times m \times m becomes m4m^4

c. 4×4×4×4×44 \times 4 \times 4 \times 4 \times 4 becomes 454^5

Would you like more detailed explanations on how exponents work or any other part of this?

Here are five follow-up questions related to exponents:

  1. How would you express 7×7×7×77 \times 7 \times 7 \times 7 as a power?
  2. What does it mean for a number to have an exponent of zero (e.g., a0a^0)?
  3. How would you simplify (32)×(34)(3^2) \times (3^4)?
  4. How do you simplify (x3)4(x^3)^4?
  5. What is the value of 232^{-3}?

Tip: Remember, when multiplying the same base with different exponents, you add the exponents!

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Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication
Powers

Formulas

a^n = a multiplied by itself n times

Theorems

Laws of exponents: a^n * a^m = a^(n+m)

Suitable Grade Level

Grade 8