Question

(2³)⁵×5⁴ / 4³×5²
please someone show me in copy​

Answer 1

Answer:

12800

Step-by-step explanation:

$\displaystyle{ \frac{ {(2^{3}) }^{5} \times {5}^{4}}{ {4}^{3} \times {5}^{2} } }$

$= \dfrac{ {2}^{15} \times {5}^{4} }{ ({2}^{2}) ^{3} \times {5}^{2} }$

$= \dfrac{ {2}^{15} \times {5}^{4} }{ {2}^{6} \times {5}^{2} }$

$= {2}^{15 - 6} \times {5}^{4 - 2}$

$= { {2}^{9} \times {5}^{2} }$

$= 512 \times 25$

$= 12800$

LAWS OF EXPONENT

1. aᵐ × aⁿ = aᵐ ⁺ ⁿ
2. aᵐ ÷ aⁿ = aᵐ ⁻ ⁿ
3. a⁻ᵐ = 1/aᵐ
4. a⁻¹ = 1/a
5. (ab)ᵐ = aᵐ × bᵐ
6. (a/b)ᵐ = aᵐ / bᵐ
7. a⁰ = 1

Thanks !