Question

If x=y^4, which expression is equal to y^16?
A.x^3
B.x^4
C.x^5
D.x^12

Answer 1

\(\bf x=y^4\implies {\color{red}{ \square }}=y?\)

Answer 2

X^4

Answer 3

\(\bf \Large { x=y^4\qquad \textit{taking }\sqrt[{\color{red}{ 4}}]{\qquad }\textit{ to both sides}
\\ \quad \\
\sqrt[{\color{red}{ 4}}]{x}=\sqrt[{\color{red}{ 4}}]{y^4}\implies \sqrt[{\color{red}{ 4}}]{x}=y}\qquad {\color{olive}{ thus}}
\\ \quad \\
x=y^{16}\implies {\color{red}{ \square }}=y?\)

Answer 4

hmmm

Answer 5

You are just confusing me more o.O

Answer 6

I think I see ... what's being asked... ok

Answer 7

one sec

Answer 8

Ok

Answer 9

\(\bf x=y^4\implies (x^1)^1=(y^4)^1\qquad thus
\\ \quad \\
\textit{raising both sides by 4, would give us}
\\ \quad \\
(x^1)^{\color{red}{ 4}}=(y^4)^{\color{red}{ 4}}\implies x^{1\cdot {\color{red}{ 4}}}=y^{4\cdot {\color{red}{ 4}}}\)

Answer 10

B is the answer

Answer 11

yeap

Answer 12

\(\bf x^4=y^{16}\)

Answer 13

Thankyou