Question

question 4 of 5
1 point
simplify the expression. your answer should only contain positive exponents.
$(3x^{5}y^{-3})^{0}$
select the correct response:
$\frac{y^{5}}{3x^{2}}$
$\frac{1}{3x^{5}}$
$\frac{3x^{2}}{y^{5}}$
1

Explanation:

Step1: Recall the zero exponent rule

Any non - zero number (or expression) raised to the power of 0 is equal to 1. The expression inside the parentheses \((3x^{5}y^{-3})\) is non - zero (since the base of the exponent 0 operation is \(3x^{5}y^{-3}\), and as long as \(x
eq0\) or \(y
eq0\), the expression is non - zero. For the purpose of the exponent rule, we consider the general case where the base is non - zero). So, by the zero exponent rule \(a^{0}=1\) for \(a
eq0\), we have \((3x^{5}y^{-3})^{0}=1\)

Answer:

1