Podcast
Questions and Answers
What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?
What is the result of multiplying $a^{1/2}$ by $a^{1/3}$?
- $a^{5/2}$
- $a^{5/6}$ (correct)
- $a^{1/5}$
- $a^{2/5}$
Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?
Which of the following represents the division of $a^{2/3}$ by $a^{1/2}$?
- $a^{5/6}$
- $a^{1/3}$ (correct)
- $a^{2/5}$
- $a^{1/6}$
What is the outcome of $(ab)^{2/3}$?
What is the outcome of $(ab)^{2/3}$?
- $a^{2/3} b^{2/3}$ (correct)
- $a^{1/3} b^{2/3}$
- $a^{2/3} b^{1/3}$
- $a^{3/2} b^{3/2}$
Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?
Which expression correctly simplifies the exponentiation of a quotient $\left( \frac{a}{b} \right)^{3/4}$?
What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?
What is the simplified form of $\left(a^{1/4}\right)^{3/2}$?
How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?
How would you convert the expression $\sqrt[5]{a^3}$ to rational exponents?
What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?
What is the outcome of applying the power of a power law to the expression $ig(a^{3/4}ig)^{2/5}$?
Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?
Which expression correctly represents the multiplication of $a^{1/3}$ and $a^{2/5}$?
What is the result when dividing $a^{3/4}$ by $a^{1/2}$?
What is the result when dividing $a^{3/4}$ by $a^{1/2}$?
Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?
Which of the following is the correct simplification of $ig(ab^{1/2}ig)^{3/2}$ based on the raising a product to a power law?
What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?
What is the correct fractional exponent for the expression $b^{4}$ when expressed as a square root?
What is the result of simplifying the expression $rac{a^{5/6}}{a^{2/3}}$?
What is the result of simplifying the expression $rac{a^{5/6}}{a^{2/3}}$?
What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?
What is the result of applying the division of exponents to the expression $\frac{a^{4/5}}{a^{1/3}}$?
Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?
Which of the following correctly represents the power of a power for the expression $\left( a^{2/3} \right)^{3/4}$?
What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?
What expression results from applying the raising a quotient to a power law to $\left( \frac{a^3}{b^2} \right)^{2/5}$?
When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?
When simplifying the expression $a^{1/2} \times a^{1/4}$, what is the simplified exponent?
What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?
What is the simplified form of $\left(a^{5/6} \right)^{3/2}$?
When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?
When converting the expression $\sqrt[4]{b^8}$ to a rational exponent, what is the correct form?