Which rational exponent represents a square root

Answers: 1. Answer from: Gabilop. Answer from: mari Answer from: Nholz Answer from: Matildagann. Option B Increases Step-by-step explanation: to solve this problem, let us plug in figures to replace the variables in the equation. Answer from: briannabridgewater So here's the rule from fractional exponents to radicals: Looking at this rule, the denominator represents the root. Answer from: aliamioyaj0n. The denominator of a fractional exponent represents the degree of root. For example. Answer from: poptropic Square roots are most often written using a radical sign, like this,.

But there is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, can be written as. They may be hard to get used to, but rational exponents can actually help simplify some problems.

Radicals and fractional exponents are alternate ways of expressing the same thing. You have already seen how square roots can be expressed as an exponent to the power of one-half. Radical Form. Exponent Form. Remember, cubing a number raises it to the power of three.

Notice that in these examples, the denominator of the rational exponent is the number 3. These examples help us model a relationship between radicals and rational exponents: namely, that the n th root of a number can be written as either or. When faced with an expression containing a rational exponent, you can rewrite it using a radical. In the table above, notice how the denominator of the rational exponent determines the index of the root. So, an exponent of translates to the square root, an exponent of translates to the fifth root or , and translates to the eighth root or.

Write as an expression with a rational exponent. The radical form can be rewritten as the exponent. Remove the radical and place the exponent next to the base. Express in radical form. Rewrite the expression with the fractional exponent as a radical. The denominator of the fraction determines the root, in this case the cube root. The parentheses in indicate that the exponent refers to everything within the parentheses.

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