Question

select the equivalent expression.
\\(\frac{x^5}{x^7 \cdot x^{-7}}\\)
answer attempt 1 out of 3
\\(\circ\\) \\(x^{19}\\) \\(\circ\\) \\(\frac{1}{x^{19}}\\) \\(\circ\\) \\(\frac{1}{x^5}\\) \\(\circ\\) \\(x^5\\)

Explanation:

Step1: Simplify denominator exponents

When multiplying like bases, add exponents: $x^7 \cdot x^{-7} = x^{7 + (-7)} = x^0$

Step2: Evaluate zero exponent

Any non-zero base to 0 power is 1: $x^0 = 1$

Step3: Simplify the fraction

Substitute denominator value: $\frac{x^5}{1} = x^5$

Answer:

$x^5$