Question

8 multiple choice 1 point simplify the expression below. write your answer using only positive exponents. 15c⁻⁸d⁰ 15d/c⁸ c⁸/15 c⁸/(15d) 15/c⁸ clear my selection

Explanation:

Step1: Recall exponent rules

Recall that \(a^0 = 1\) for any non - zero \(a\), and \(a^{-n}=\frac{1}{a^{n}}\) for \(a
eq0\) and \(n>0\).
For the term \(d^{0}\), using the zero - exponent rule, \(d^{0} = 1\) (assuming \(d
eq0\)).
For the term \(c^{-8}\), using the negative - exponent rule, \(c^{-8}=\frac{1}{c^{8}}\).

Step2: Simplify the expression

The original expression is \(15c^{-8}d^{0}\). Substitute \(d^{0}=1\) and \(c^{-8}=\frac{1}{c^{8}}\) into the expression:
\(15\times\frac{1}{c^{8}}\times1=\frac{15}{c^{8}}\)

Answer:

\(\frac{15}{c^{8}}\) (the option with \(\frac{15}{c^{8}}\))