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To rewrite the expression (x^3)^5 differently, we can apply the power of a power rule in algebra. This rule states that when raising a power to another power, we can multiply the exponents. In this case, we have x raised to the power of 3, and that whole expression is then raised to the power of 5. By applying the power of a power rule, we can simplify this expression by multiplying the exponents, which gives us x^(3*5).
Simplifying further, we find that 3 multiplied by 5 is equal to 15. Therefore, the expression (x^3)^5 can be rewritten as x^15. This means that x is raised to the power of 15, which is the result of raising x cubed to the fifth power. By simplifying the expression in this way, we can easily evaluate the value of x^15 for any given value of x.
In conclusion, the expression (x^3)^5 can be rewritten as x^15 by applying the power of a power rule in algebra. This simplification allows us to easily understand and work with the expression, making it more manageable to evaluate or manipulate in mathematical calculations. By following the rules of exponents, we can simplify complex expressions like this one and express them in a more concise and understandable form.
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