Question

PLEASEE HELPP....Simplify the expression using properties of exponents.​

Answer 1

Answer:

D

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{n} }{a^{m} }$ = $\frac{1}{a^{(m-n)} }$

Given

$\frac{25a^{-5}b^{-8} }{5a^{4}b }$

= $\frac{25}{5}$ × $\frac{a^{-5} }{a^{4} }$ × $\frac{b^{-8} }{b^{1} }$

= 5 × $\frac{1}{a^{(4-(-5))} }$ × $\frac{1}{b^{(1-(-8))} }$

= 5 × $\frac{1}{a^{9} }$ × $\frac{1}{b^{9} }$

= $\frac{5}{a^{9}b^{9} }$ → D