One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 b^3 = 24$. What is the value of $b$

Question

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 b^3 = 24$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)
b
=
√

GPT-5 mini · Answer

From ab^4 = 48, a = 48/b^4. Substitute into a^2 b^3 = 24:
(48/b^4)^2 b^3 = 24 → 2304 / b^5 = 24 → b^5 = 96.

So b = 96^(1/5) = 2·3^(1/5).

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 b^3 = 24$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)
b
=
√

All Answers 1

Submit Your Answer

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 b^3 = 24$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.) b = √

All Answers 1

Submit Your Answer

One ordered pair $(a,b)$ satisfies the two equations $ab^4 = 48$ and $a^2 b^3 = 24$. What is the value of $b$ in this ordered pair? (Note: you may have to use the Tab key to get your cursor into the middle answer box.)
b
=
√