Select the expression that is equivalent to (1)/(7x^((1)/(2))) (1)/(7sqrt(x^(2))) (1)/(sqrt(7x^(2))) (1)/(sqrt(7x)) (1)/(7sqrtx)

Understand Expression: Understand the given expression. The given expression is (1)/(7x^((1)/(2))). The exponent (1/2) is equivalent to the square root. Therefore, x^((1)/(2)) is the same as sqrt(x).Rewrite Using Square Root: Rewrite the given expression using the square root. The expression (1)/(7x^((1)/(2))) can be rewritten as (1)/(7sqrt(x)).Compare with Options: Compare the rewritten expression with the options. The rewritten expression (1)/(7sqrt(x)) matches one of the given options exactly.Eliminate Incorrect Options: Eliminate incorrect options. (1)/(7sqrt(x^(2))) is incorrect because sqrt(x^(2)) simplifies to x, not sqrt(x). (1)/(sqrt(7x^(2))) is incorrect because it implies the square root is over both 7 and x^2, which is not the case in the original expression. (1)/(sqrt(7x)) is incorrect because it implies the square root is over both 7 and x, which is not the case in the original expression. (1)/(7sqrtx) is a typographical error and should be written as (1)/(7sqrt(x)), which is the correct expression.

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Select the expression that is equivalent to
(1)/(7x^((1)/(2)))

(1)/(7sqrt(x^(2)))

(1)/(sqrt(7x^(2)))

(1)/(sqrt(7x))

(1)/(7sqrtx)

Select the expression that is equivalent to $\frac{1}{7 x^{\frac{1}{2}}}$ $\newline$ $\frac{1}{7 \sqrt{x^{2}}}$ $\newline$ $\frac{1}{\sqrt{7 x^{2}}}$ $\newline$ $\frac{1}{\sqrt{7 x}}$ $\newline$ $\frac{1}{7 \sqrt{x}}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Select the expression that is equivalent to

\frac{1}{7 x^{\frac{1}{2}}}

\newline

\frac{1}{7 \sqrt{x^{2}}}

\newline

\frac{1}{\sqrt{7 x^{2}}}

\newline

\frac{1}{\sqrt{7 x}}

\newline

\frac{1}{7 \sqrt{x}}

Understand Expression: Understand the given expression. $\newline$ The given expression is $(1)/(7x^{(1)/(2)})$ . The exponent $(1/2)$ is equivalent to the square root. Therefore, $x^{(1)/(2)}$ is the same as $\sqrt{x}$ .
Rewrite Using Square Root: Rewrite the given expression using the square root. $\newline$ The expression $(1)/(7x^{(1)/(2)})$ can be rewritten as $(1)/(7\sqrt{x})$ .
Compare with Options: Compare the rewritten expression with the options. $\newline$ The rewritten expression $(1)/(7\sqrt{x})$ matches one of the given options exactly.
Eliminate Incorrect Options: Eliminate incorrect options. $(1)/(7\sqrt{x^{2}})$ is incorrect because $\sqrt{x^{2}}$ simplifies to $x$ , not $\sqrt{x}$ . $(1)/(\sqrt{7x^{2}})$ is incorrect because it implies the square root is over both $7$ and $x^2$ , which is not the case in the original expression. $(1)/(\sqrt{7x})$ is incorrect because it implies the square root is over both $7$ and $x$ , which is not the case in the original expression. $\sqrt{x^{2}}$ $0$ is a typographical error and should be written as $\sqrt{x^{2}}$ $1$ , which is the correct expression.