Question

using law of exponents simplify 2⁸×a²/4³×a³​

Answer 1

Answer:

2^8×a^2/4^3×a^3

=2^8×a^2×4^-3×a^3

=2^8×a^(2+3)×2^-6

=2^(8-6) ×a^5

=2^2a^5

=4a^5

Answer 2

Step-by-step explanation:

$\frac{ {2}^{8} \times {a}^{2} }{ {4}^{3} \times {a}^{3} } = \frac{ {2}^{8} \times {a}^{2} }{ {2}^{(2)(3)} \times {a}^{3} } = \frac{ {2}^{8} \times {a}^{2} }{ {2}^{6} \times {a}^{3} } \\ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} so \\ {2}^{8 - 6} \times {a}^{2 - 3} \\ {2}^{2} \times {a}^{ - 1}$