Question

3.when a radical is written in exponential form, what does the numerator tell us?
in this form, the exponent is a fraction. what
do the two parts mean?
compare the radical and exponential form symbols in the word
gallery.
a what to multiply the number by
b how many times to multiply the number by itself
c what type of root it is

Explanation:

When a radical is written in exponential form \(x^{\frac{a}{b}}\), the numerator \(a\) in the exponent indicates the power to which the base \(x\) is raised. For example, if we have \(x^{\frac{2}{3}}\), the \(2\) (the numerator) means we first square the base \(x\). In general, for \(x^{\frac{a}{b}}=\sqrt[b]{x^{a}}\), the numerator \(a\) tells us what power to apply to the number \(x\) (i.e., what to multiply the number by itself \(a\) times, since \(x^{a}=x\times x\times\cdots\times x\) (\(a\) times)).

Answer:

A. what to multiply the number by