Question

plz from exponents and powers chapter​

Answer 1

$\Large\underline\mathfrak{Question}$

Solve The Following :-----

$\large\boxed{\bold{ \frac{5^{ - 3} \times {6}^{2} \times {7}^{ - 3} }{12 ^{4} \times 125 \times {49}^{2} } }}$

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

• a^(-n) = 1/a^n
• (a^b)/(a^c) = a^(b-c)
• a^b×a^c = a^(b+c)
• (a×b)^n = a^n×b^n

__________________

$\Large\underline{\underline{\sf{Solution}:}}$

First let simply some things :---

→ 5^(-3) = 1/5³

→ 7^(-3) = 1/7³

→ (12)⁴ = (2×6)⁴ = 2⁴ × 6⁴

→ 49² = ((7)²)² = 7⁴

→ 125 = 5³

Putting all these Now in Question we get :-----

$\red \leadsto \: \purple{\frac{ {6}^{2} }{ {2}^{4} \times {6}^{4} \times {6}^{ - 2} \times {5}^{3} \times {5}^{3} \times {7}^{4} \times {7}^{3}}} \\ \\ \red \leadsto \: \frac{ {6}^{2} }{ {2}^{4} \times {6}^{(4 - 2)} \times {5}^{(3 + 3)} \times {7}^{(4 + 3)} } \\ \\ \red \leadsto \: \pink{ \frac{ {6}^{2} }{ {2}^{4} \times {6}^{2} \times {5}^{6} \times {7}^{7} }} \\ \\ \red \leadsto \: \red{\large\boxed{\bold{ \frac{1}{ {2}^{4} \times {5}^{6} \times {7}^{7} } }}}$

$\large\underline\textbf{Hope it Helps You.}$

Answer 2

Answer:

6²/2⁴×6⁴×6^-2×5³×5³×7⁴

6²/2⁴×6(4-2)×5^5+5×7^7

6²/2⁴×6²×5^6×7^7

1/2⁴×5^6×7^7

Step-by-step explanation: