Question

simplify.
\\(\frac{b^{7}a^{4}}{b^{5}a}\\)

Explanation:

Step1: Simplify \( b \)-terms

Use exponent rule \( \frac{x^m}{x^n}=x^{m - n} \). For \( b \): \( \frac{b^7}{b^5}=b^{7 - 5}=b^2 \)

Step2: Simplify \( a \)-terms

For \( a \): \( \frac{a^4}{a^1}=a^{4 - 1}=a^3 \) (since \( a = a^1 \))

Step3: Combine results

Multiply the simplified \( b \)-term and \( a \)-term: \( b^2 \times a^3 = a^3b^2 \)

Answer:

\( a^{3}b^{2} \)