This animation walks through comparing two fractional powers: (1/2)^3 and (2/3)^2. It shows step-by-step how to cube and square fractions by applying the exponent to numerator and denominator separately, then converts both results to a common denominator of 72 to compare them directly. The visual highlights why 4/9 is greater than 1/8, reinforcing fraction exponent rules and common denominator comparison for middle or early high school students.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
Diketahui: a=\frac12 dan b=\frac23 Ditanyakan: mana yang lebih besar, a^3 atau b^2? 1. Hitung a^3 a^3=\left(\frac12\right)^3 =\frac{1^3}{2^3} =\frac18 Jadi: a^3=\frac18 2. Hitung b^2 b^2=\left(\frac23\right)^2 =\frac{2^2}{3^2} =\frac49 Jadi: b^2=\frac49 3. Bandingkan Kita bandingkan: \frac18 \quad \text{dan} \quad \frac49 Samakan penyebut: \frac18=\frac9{72} \frac49=\frac{32}{72} Karena: 32>9 maka: \frac49>\frac18 Jadi: \boxed{b^2>a^3}