Answer :
Final answer:
Potential equivalent expressions to the given expression X^3/5 include 0.2*X^3, X^3 * 1/5, or (1/5)X^3. This is based on the mathematical principle that division by a number is equivalent to multiplication by its reciprocal.
Explanation:
The original expression in the question is X^3/5. Equivalent forms of this expression would depend on the choices given, which are not provided in the question. However, some potential equivalent forms could include:
- 0.2*X^3
- X^3 * 1/5
- (1/5)X^3
It's crucial to understand that division by a number is equivalent to multiplication by its reciprocal. Hence, dividing the X^3 term by 5 can be rewritten as multiplying the X^3 term by 1/5 or 0.2.
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Answer:
[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]
Step-by-step explanation:
Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].