%5E3.jpeg "(4t^5)^3")
Simplifying (4t^5)^3
In mathematics, simplifying expressions is a fundamental skill. One common type of simplification involves raising a power to another power. Let's examine the expression (4t^5)^3.
Understanding the Rules of Exponents
The key rule we'll use is: (a^m)^n = a^(m*n). This means when raising a power to another power, we multiply the exponents.
Applying the Rule
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Identify the base and exponents: In our expression, the base is 4t^5 and the exponent is 3.
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Apply the rule: Using the rule mentioned above, we multiply the exponents: (4t^5)^3 = 4^(53) * t^(53)
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Simplify: This gives us 4^15 * t^15.
Final Result
Therefore, the simplified form of (4t^5)^3 is 4^15 * t^15. Note that you can calculate 4^15 if you need a numerical answer.