what is an equivalent expression for -(x^1/3) ^15
An equivalent expression for -(x^1/3)^15 is -x^(5)
To find an equivalent expression for -(x^(1/3))^15, you can apply the power rule of exponents.
First, let's rewrite the expression without the negative sign: (x^(1/3))^15.
The power rule states that (a^m)^n = a^(m*n). Applying this rule to our expression, we have:
(x^(1/3))^15 = x^(1/3 * 15).
Multiplying 1/3 by 15 gives us:
x^(1/3 * 15) = x^(15/3).
Simplifying the exponent, we have:
x^(15/3) = x^5.
Therefore, an equivalent expression for -(x^(1/3))^15 is -x^5.
To find an equivalent expression for -(x^(1/3))^15, we can simplify the given expression using the properties of exponents. Let's break it down step by step:
1. Start with the expression -(x^(1/3))^15
2. Since the exponent 15 applies only to the quantity inside the parentheses, we can distribute it:
-(x)^(1/3 * 15)
3. Simplify the exponent inside the parentheses:
-(x)^(5)
4. Finally, we can rewrite the expression as:
-x^5
Therefore, an equivalent expression for -(x^(1/3))^15 is -x^5.