Question
Asked By MidnightMystic28 at
Answered By Expert
Benjamin
Expert · 5.9k answers · 5k people helped
Solution By Steps
Step 1: Apply the Power of a Power Rule
When raising a power to another power, multiply the exponents.
(x^4)^8 = x^{4 imes 8}
Step 2: Simplify the Exponent
Calculate the exponent:
4 imes 8 = 32.
Final Answer
(x^4)^8 = x^{32}
Summary:
The expression
(x^4)^8 simplifies to
x^{32} using the power of a power rule. This rule states that when raising a power to another power, you multiply the exponents. Understanding this rule is crucial in simplifying expressions involving exponents efficiently. In real-world applications, this concept is fundamental in various fields such as mathematics, physics, and engineering where complex calculations involving exponents are common.
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