Rational Exponents & Simplifying Radicals

Write the expression in exponential form:
√23

• 23^1/2
• 23^-1/2
• 23²
• 23^-2

Tags

CCSS.HSN.RN.A.2

Write the expression in exponential form:
∛x²

• x^3/2
• x^2/3
• x^1/2
• x^1/3

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Write the expression in exponential form:
∜x⁵

• x^4/5
• x^5/4
• x⁵
• x^1/4

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression in radical form.
y^1/2

• √y
• ∛y
• √y²
• ∛y²

Tags

CCSS.HSN.RN.A.2

Write the expression in radical form.
 $x^{\frac{7}{2}}$  

•  $\sqrt{x^7}$  

•  $7\sqrt{x^2}$  

• 7x²

• ∛x⁷

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Simplify:
 $\sqrt{36x^4}$  

•  $6x^2$  

•  $18x^2$  

•  $6x$  

•  $6x^{\frac{1}{2}}$  

Simplify:
 $\sqrt{100a^8b^{12}}$  

•  $10ab$  

•  $10a^{16}b^{24}$  

•  $100a^4b^6$  

•  $10a^4b^6$  

What are the real fourth roots of -625?

• 5

• -5

• ±5

• No real root

What are the real cube roots of 512?

• 8

• -8

• ±8

• No real root