A student claims that $$(x^2y^3)^{1/2} = x y^{3/2}$$ . Is the student correct? Justify your answer.

Yes, because $$\sqrt{x^2y^3} = x y^{3/2}$$

No, because $$\sqrt{x^2y^3} = x y^{3/2}$$

Yes, because $$\sqrt{x^2y^3} = x^2 y^3$$

No, because $$\sqrt{x^2y^3} = x y^{3}$$

Exploring Exponents and Radicals

Authored by Reilly Brower

Chemistry

11th Grade

Used 2+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of $2^3$ ?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: $\sqrt{49}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is equivalent to $x^{\frac{1}{2}}$ ?

$2x$

$\sqrt{x}$

$x^2$

$x^{1/3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of $\sqrt{16x^2}$ ?

$4x$

$8x$

$2x$

$16x$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is $a^3 \cdot a^2$ equal to?

$a^5$

$a^6$

$a^1$

$a^{1/2}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: $\sqrt{18}$

$3\sqrt{2}$

$2\sqrt{3}$

$9$

$6$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite $27^{\frac{1}{3}}$ in radical form.

$\sqrt{27}$

$\sqrt[3]{27}$

$27^3$

$3^{27}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: $x^{\frac{3}{2}} \cdot x^{\frac{1}{2}}$

$x^2$

$x^3$

$x^{2/3}$

$x^1$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is the simplified form of $\sqrt{50x^4}$ ?

$5x^2$

$5x^2\sqrt{2}$

$25x^2$

$2x^2\sqrt{5}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify: $\left(\frac{a^4}{a^2}\right)^{\frac{1}{2}}$

$a$

$a^2$

$a^3$

$a^{1/2}$

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Exploring Exponents and Radicals

What is the value of 232^323 ?

Simplify: 49\sqrt{49}49​

Which of the following is equivalent to x12x^{\frac{1}{2}}x21​ ?

What is the simplified form of 16x2\sqrt{16x^2}16x2​ ?

What is a3⋅a2a^3 \cdot a^2a3⋅a2 equal to?

Simplify: 18\sqrt{18}18​

Rewrite 271327^{\frac{1}{3}}2731​ in radical form.

Simplify: x32⋅x12x^{\frac{3}{2}} \cdot x^{\frac{1}{2}}x23​⋅x21​

Which of the following is the simplified form of 50x4\sqrt{50x^4}50x4​ ?

Simplify: (a4a2)12\left(\frac{a^4}{a^2}\right)^{\frac{1}{2}}(a2a4​)21​

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Discover more resources for Chemistry

What is the value of $2^3$ ?

Simplify: $\sqrt{49}$

Which of the following is equivalent to $x^{\frac{1}{2}}$ ?

What is the simplified form of $\sqrt{16x^2}$ ?

What is $a^3 \cdot a^2$ equal to?

Simplify: $\sqrt{18}$

Rewrite $27^{\frac{1}{3}}$ in radical form.

Simplify: $x^{\frac{3}{2}} \cdot x^{\frac{1}{2}}$

Which of the following is the simplified form of $\sqrt{50x^4}$ ?

Simplify: $\left(\frac{a^4}{a^2}\right)^{\frac{1}{2}}$