Question

simplify and express in exponential form​

Answer 1

Answer:

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Answer 2

Answer:

$\frac{4^5 x 3^7 x 2^8}{3 x 64}$ $=2^{12} x 3^{6}$

Step-by-step explanation:

$\frac{4^5 x 3^7 x 2^8}{3 x 64}$

$=\frac{(2^2)^5 x 3^7 x 2^8}{3 x 2^6}$

$=\frac{2^{10} x 3^7 x 2^8}{3 x 2^6}$  [∵ $(a^m)^n = a^{mn}$]

$=2^{(10 + 8 - 6)} x 3^{(7 - 1)}$  [∵ $a^m x a^n = a^{(m + n)}$  and $\frac{a^m}{a^n} = a^{(m - n)}$]

$=2^{12} x 3^{6}$