Simplify: ((a^2)/(b^5))^4 (a^8)/(b^9) (a^6)/(b^9) (a^8)/(b^20) (a^8)/(b^20)

Question

Simplify: ((a^2)/(b^5))^4 (a^8)/(b^9) (a^6)/(b^9) (a^8)/(b^20) (a^8)/(b^20)

Answer 1

To simplify the expression \(\left(\frac{a^{2}}{b^{5}}\right)^{4}\), we need to apply the power of a quotient rule, which states that \(\left(\frac{x}{y}\right)^n = \frac{x^n}{y^n}\).Given:

We can rewrite this as:

Next, we apply the power rule for exponents, which states that \((x^m)^n = x^{m \cdot n}\):

So, the expression simplifies to:

Therefore, the correct answer is:

Question

Simplify: ((a^2)/(b^5))^4 (a^8)/(b^9) (a^6)/(b^9) (a^8)/(b^20) (a^8)/(b^20)

Solution

Resposta