Answer:
The missing term is x^158
Step-by-step explanation:
Let A denote the missing term.
[tex](x^{12})^5 \cdot (x^{-2})^9 \cdot A =(x^{40})^5\\x^{60}\cdot x^{-18}\cdot A = x^{200}\\x^{42}\cdot A = x^{200}\\A = x^{200}\cdot x^{-42}=x^{158}[/tex]
Answer:
[tex]x^{158}[/tex]
Step-by-step explanation:
We are given,
[tex](x^{12} )^{5} \times (x^{-2} )^{9} \times y = (x^{40} )^{5}[/tex].
It is required to find the value of y.
Now, on simplifying above equation, we get,
[tex]x^{60} \times x^{-18} \times y = x^{200}[/tex]
i.e. [tex]x^{42} \times y = x^{200}[/tex]
i.e. [tex]y = x^{200} \times x^{-42} [/tex]
i.e. [tex]y = x^{158}[/tex]
Hence, the missing term is [tex]x^{158}[/tex].
