Question

Simplify the following:

`(x^4 xx x^5)/(x^3 xx x^-1)`

Answer 1

Given: `(x^4 xx x^5)/(x^3 xx x^-1)`

Step-wise calculation:

1. Apply the product rule for exponents in the numerator and denominator separately: 

x⁴ × x⁵ = x^{4 + 5}

x⁴ × x⁵ = x⁹

x³ × x^–1 = x^{3 + (–1)}

x³ × x^–1 = x²

2. Now the expression becomes:

`x^9/x^2`

3. Apply the quotient rule for exponents:

x⁹ ÷ x² = x^{9 – 2}

x⁹ ÷ x² = x⁷