Math Problem Statement

Bentuk sederhana dari (2^3)^4 × (2^3)^-5 adalah ...

Solution

The problem is to simplify:

(23)4×(23)5(2^3)^4 \times (2^3)^{-5}

Solution:

  1. Simplify the exponents: Using the rule of exponents (am)n=amn(a^m)^n = a^{m \cdot n}, we simplify each term: (23)4=234=212(2^3)^4 = 2^{3 \cdot 4} = 2^{12} (23)5=23(5)=215(2^3)^{-5} = 2^{3 \cdot (-5)} = 2^{-15}

  2. Combine the terms: Using the rule of exponents

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Math Problem Analysis

Mathematical Concepts

Exponents
Simplification of expressions

Formulas

(a^m)^n = a^(m * n)
a^m * a^n = a^(m + n)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 8-10