Question

simplify 2^3×3^4×4\10×32

Answer 1

Answer:

Step-by-step explanation:

We can write 25 as 5^2

10 as5×2

32 as 2^4

Now we have a rule in exponents

a^m/a^n=a^m-n

Answer 2

$= \frac{ {2}^{3} \times {3}^{4} \times 25}{10 \times 32} \\ = \frac{ {2}^{3} \times {3}^{4} \times 5}{2 \times 32} \\ = \frac{ {2}^{3} \times {3}^{4} \times 5 }{2 \times {2}^{5} } \\ = \frac{ {2}^{3} \times {3}^{4} \times 5}{ {2}^{6} } \\ = {2}^{3 - 6} \times {3}^{ 4} \times 5 \\ = {2}^{ - 3} \times {3}^{4} \times 5 \\ = \frac{1}{ {2}^{3} } \times 81 \times 5 \\ = 50.625$