Math Problem Statement
(7^8)^3
Solution
The expression in the image is .
To solve this, we apply the power of a power rule in exponents, which states:
Here, , , and . Thus, we get:
The simplified expression is .
Would you like further explanation, or do you have any specific questions about this?
Related Questions:
- How do you simplify expressions with multiple exponents?
- What is the general rule for multiplying powers of the same base?
- How would you calculate using a calculator?
- Can you apply this exponent rule to roots as well?
- What are some real-world applications of exponential powers?
Tip:
When dealing with multiple powers in an expression, always combine exponents carefully using the laws of exponents to simplify calculations.
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Math Problem Analysis
Mathematical Concepts
Exponents
Laws of Exponents
Formulas
(a^m)^n = a^{m * n}
Theorems
Power of a Power Rule in Exponents
Suitable Grade Level
Grades 8-10