Question

select the correct answer. simplify the following expression. $\frac{21m^{9}n^{18}p^{10}}{3m^{7}n^{16}p^{5}}$ 18$m^{21}LXB0p^{5}$ 7$m^{21}LXB1p^{5}$ 7$m^{2}LXB2p$ 18$m^{2}LXB3p^{5}$

Explanation:

Step1: Divide the coefficients

$\frac{21}{3}=7$

Step2: Use exponent - subtraction rule for $m$

$\frac{m^{13}}{m^{11}}=m^{13 - 11}=m^{2}$

Step3: Use exponent - subtraction rule for $n$

$\frac{n^{18}}{n^{16}}=n^{18 - 16}=n^{2}$

Step4: Use exponent - subtraction rule for $p$

$\frac{p^{10}}{p^{5}}=p^{10 - 5}=p^{5}$

Step5: Combine the results

$7m^{2}n^{2}p^{5}$

Answer:

$7m^{2}n^{2}p^{5}$