Question

Select the correct answer.Simplify the expression so there is only one power for each base.5.6^-5 x 3.4^-7 x 5.6^3 x 3.4^-4a. 5.6^-8 x 3.4^-3b. 5.6^-8 x 3.4^-7c. 5.6^-2 x 3.4^-11d. 5.6^-5 x 3.4^-3e. 5.6^8 x 3.4^11

Answer 1

Given:-

$5.6^{-5}\times3.4^{-7}\times5.6^3\times3.4^{-4}$

To find the simplified form.

So now we use the formula,

$a^^ma^n=a^{m+n}$

So we get,

$5.6^{-5}\times3.4^{-7}\times5.6^3\times3.4^{-4}=5.6^{-5+3}\times3.4^{-7-4}=5.6^{-2}\times3.4^{-11}$

So the required answer is,

$5.6^{-2}\times3.4^{-11}$