1. (2a)² × (2a)² =

By Admin ReiPosted on December 10, 2022

2. 7⁴/7²=
3. (-5)⁴/(-5)²=
4. (3²)²=
5. ((½)²)³=
dengan cara mohon jangan ngasal

1. (2a)² × (2a)² =

Jawaban:

1. (2a)² × (2a)² = 16a⁴

2. $sf dfrac{{7}^{4}}{{7}^{2}}$ = 49

3. $sf dfrac{{(-5)}^{4}}{{(-5)}^{2}}$ = 25

4. (3²)²= 81

5. $sf ((dfrac{1}{2})^{2})^{3}$ = $bf{ underline{ dfrac{1}{64}}}$

$\$

PEMBAHASAN

Nomor 1

(2a)² × (2a)²

= (2a × 2a) × (2a × 2a)

= 4a² × 4a²

= (4 × 4) $sf {a}^{2 + 2}$

= (16) $sf {a}^{2 + 2}$

= 16a⁴

$\$

Nomor 2

$sf dfrac{{7}^{4}}{{7}^{2}}$

= $sf dfrac{7 times 7 times 7 times 7}{7 times 7}$

= $sf dfrac{49 times 7 times 7}{49}$

= $sf dfrac{343 times 7}{49}$

= $sf dfrac{2.401}{49}$

= 49

$\$

Nomor 3

$sf dfrac{{(-5)}^{4}}{{(-5)}^{2}}$

= $sf dfrac{(-5) times (-5) times (-5) times (-5)}{(-5) times (-5)}$

= $sf dfrac{25 times (-5) times (-5)}{25}$

= $sf dfrac{(-125) times (-5)}{25}$

= $sf dfrac{625}{25}$

= 25

$\$

Nomor 4

(3²)²

= $sf {3}^{2 times 2}$

= $sf {3}^{4}$

= 3 × 3 × 3 × 3

= 9 × 3 × 3

= 27 × 3

= 81

$\$

Nomor 5

$sf ((dfrac{1}{2})^{2})^{3}$

= $sf (dfrac{1}{2})^{2 times 3}$

= $sf (dfrac{1}{2})^{6}$

= $sf dfrac{1}{2} times dfrac{1}{2} times dfrac{1}{2} times dfrac{1}{2} times dfrac{1}{2} times dfrac{1}{2}$

= $sf dfrac{1 times 1 times 1 times 1 times 1 times 1}{2 times 2 times 2 times 2 times 2 times 2}$

= $sf dfrac{1 times 1 times 1 times 1 times 1}{4 times 2 times 2 times 2 times 2}$

= $sf dfrac{1 times 1 times 1 times 1}{8 times 2 times 2 times 2}$

= $sf dfrac{1 times 1 times 1}{16 times 2 times 2}$

= $sf dfrac{1 times 1}{32 times 2}$

= $bf{ underline{ dfrac{1}{64}}}$

➩ Nomor 1

$sf bf tt (2a)² × (2a)²$

$sf bf tt (2a)² × (2a)²$

$sf bf tt (2a × 2a)× (2a × 2a)$

$sf bf tt 4a²× 4a²$

$sf bf tt (4 × 4)a^{2+2}$

$sf bf tt (16)a^{2+2}$

$bold{underline{boxed{pink{sf bf tt 16a⁴}}}}$

➩ Nomor 2

$sf bf tt frac{7^{4}}{7^{2}}$

$sf bf tt frac{7 × 7 × 7 × 7}{7 × 7}$

$sf bf tt frac{49× 7 × 7}{49}$

$sf bf tt frac{343× 7}{49}$

$sf bf tt frac{2.401}{49}$

$bold{underline{boxed{pink{sf bf tt 49}}}}$

➩ Nomor 3

$sf bf tt frac{(-5)^{4}}{(-5)^{2}}$

$sf bf tt frac{(-5)×(-5)×(-5)×(-5)}{(-5)×(-5)}$

$sf bf tt frac{25×(-5)×(-5)}{25}$

$sf bf tt frac {(-125)×(-5)}{25}$

$sf bf tt frac {625}{25}$

$bold{underline{boxed{pink{sf bf tt 25}}}}$

➩ Nomor 4

$sf bf tt (3²)²$

$sf bf tt 3^{2×2}$

$sf bf tt 3^{4}$

$sf bf tt 3×3×3×3$

$sf bf tt 9×3×3$

$sf bf tt 27×3$

$bold{underline{boxed{pink{sf bf tt 81}}}}$

➩ Nomor 5

$sf bf tt (frac{1}{2})²)³$

$sf bf tt (frac{1}{2})^{3×2}$

$sf bf tt (frac{1}{2})^{6}$

$sf bf tt frac{1}{2} × frac{1}{2} × frac{1}{2} × frac{1}{2} × frac{1}{2} × frac{1}{2}$

$sf bf tt frac{1 × 1 × 1 × 1 × 1 × 1}{2 × 2 × 2 × 2 × 2 × 2}$

$sf bf tt frac{1 × 1 × 1 × 1 × 1}{4× 2 × 2 × 2 × 2}$

$sf bf tt frac{1× 1 × 1 × 1}{8 × 2 × 2 × 2}$

$sf bf tt frac{1 × 1 × 1}{16 × 2 × 2}$

$sf bf tt frac{1 × 1}{32 × 2}$

$bold{underline{boxed{pink{sf bf tt frac{1}{64}}}}}$

#BelajarBersamaBrainly