Question

5^2×5^3×2^9×2^-8÷5^84×2^4​

Answer 1

Answer:

$5 {}^{ - 79} \times 2 {}^{ - 3}$

Step-by-step explanation:

Given,

$\frac{5 {}^{2} \times 5 {}^{3} \times 2 {}^{9} \times 2 {}^{ - 8}}{5 {}^{84} \times 2 {}^{4} } \\ by \: rules \: of \: indices \\ = 5 {}^{2 + 3 - 84} \times 2 {}^{9 + ( - 8) - 4} \\ = 5 {}^{ - 79} \times 2 {}^{ - 3}$

Hope this will help you!!