Question

simplify and write in exponentied form of(3⁵÷3⁸)⁵×3-⁵​

Answer 1

Answer: $3^{-20} or \frac{1}{3^{20}}$

Step-by-step explanation:

$(3^{5} ÷ 3^{8} × 3^{-5} = (\frac{3^{5} }{3^{8} } )^{5} × [tex]\frac{1}{3^{5} }$

=$(3^{5-8})^{5} × \frac{1}{3^{5} }$ (I used the indices law of division, which in turn became subtraction. ) For the $3^{-5}$, -5 is a raised power and can be turned to a fraction if brought down.

=By simplifying the above equation, you get this: $(3^{-3} )^{5} × \frac{1}{3^{5} }$

= If I break this further, -3 and 5 as powers will multiply each other, that is the indices law of power and the other fraction of $\frac{1}{3^{5} }$, will be dividing the first expression thus:

$(3)^{-3×5} × \frac{1}{3^{5} } \\=\frac{3^{-15}}{3^5}$

At this step, apply Indices law of division, and as they have the same base, the powers of numerator and denominator will subtract each other. Thus your final answer:

$= 3^{-15-5} \\=3^{-20}$

Answer 2

Answer:

Step-by-step explanation: