Question

simplify laws of exponents : 2^3×5^3×10^2×25/5^4×2^-5​

Answer 1

Answer:

$25600$

Step-by-step explanation:

$\frac{ {2}^{3} \times {5}^{3} \times {10}^{2} \times 25 }{ {5}^{4} \times {2}^{ - 5} } \\ \\ {2}^{3} \times {10}^{2} \times 5 \times {2}^{5} \\ \\ 2 \times 2 \times 2 \times 5 \times 2 \times 5 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\ \\ {2}^{10} \times {5}^{2} \\ \\ {32}^{2} \times {5}^{2} \\ \\ {(32 \times 5)}^{2} \\ \\ {160}^{2} \\ \\ 25600$