which expression is equivalent to $\frac{15a^{8}b^{4}}{5a^{4}b}$?\n$3a^{2}b^{4}$\n$3a^{4}b^{3}$\n$10a^{4}b^{3…
which expression is equivalent to $\frac{15a^{8}b^{4}}{5a^{4}b}$?\n$3a^{2}b^{4}$\n$3a^{4}b^{3}$\n$10a^{4}b^{3}$\n$10a^{4}b^{4}$
Answer
Explanation:
Step1: Divide the coefficients
$\frac{15}{5}=3$
Step2: Use exponent - division rule for $a$ terms
$\frac{a^{8}}{a^{4}}=a^{8 - 4}=a^{4}$ (using $\frac{x^{m}}{x^{n}}=x^{m - n}$)
Step3: Use exponent - division rule for $b$ terms
$\frac{b^{4}}{b}=b^{4 - 1}=b^{3}$ (using $\frac{x^{m}}{x^{n}}=x^{m - n}$, and $b = b^{1}$)
Step4: Combine the results
$3\times a^{4}\times b^{3}=3a^{4}b^{3}$
Answer:
$3a^{4}b^{3}$