Question

Simplify the following:

`(a^7 xx a^4)/a^3`

Answer 1

Given expression: `(a^7 xx a^4)/a^3`

Step-wise calculation:

1. Apply the product rule of exponents a^m × aⁿ = a^{m + n}: 

a⁷ × a⁴ = a^{7 + 4}

a⁷ × a⁴ = a¹¹

2. Substitute in the numerator:

\[ \frac{a^{11}}{a^3} \]

3. Apply the quotient rule of exponents `a^m/a^n = a^(m  -  n)`: 

a^{11 – 3} = a⁸