Question

Which expression is equivalent to min pg? mºn po m2

Answer 1

Answer:

The expression equivalent to $(\frac{m^{5}n}{pq^{2}})^{4}$ is  $\frac{m^{20}n^{4}}{p^{4}q^{8}}$ ⇒ C

Step-by-step explanation:

Let us use the exponent rule $(a^{m})^{n}$ = $a^{m.n}$

∵ The expression  is $(\frac{m^{5}n}{pq^{2}})^{4}$

→ By using the rule above multiply the power of each letter by 4

∵ $(m^{5})^{4}$ = $m^{20}$

∵ $(n^{1})^{4}$ = $n^{4}$

∵  $(p^{1})^{4}$ = $p^{4}$

∵ $(q^{2})^{4}$ = $q^{8}$

→ Substitute them in the expression above

∴ $(\frac{m^{5}n}{pq^{2}})^{4}$ = $\frac{m^{20}n^{4}}{p^{4}q^{8}}$

∴ The expression equivalent to $(\frac{m^{5}n}{pq^{2}})^{4}$ is  $\frac{m^{20}n^{4}}{p^{4}q^{8}}$