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Find the missing term.
Picture attached. Helppp

Find the missing term. Picture attached. Helppp-example-1
User Thelandog
by
7.0k points

2 Answers

4 votes

Idk lol I’m just writing this for the 100% sorry

User Nikolay Kostov
by
7.0k points
2 votes

ANSWER


\boxed {} = {x}^(158)

Step-by-step explanation

The given expression is:


({ {x}^(12) )}^(5) * ({ {x}^( - 2) )}^(9) \boxed {} = ({ {x}^(40) )}^(5)

Use the property,


({ {a}^(m) )}^(n) = { {a}^(mn) }


({ {x}^(60) )} * ({x}^( - 18) )\boxed {} = ({ {x}^(200) )}

Use the property,


{a}^(m) * {a}^(n) = {a}^(m + n)


({ {x}^(60 + - 18) )} \boxed {} = ({ {x}^(200) )}


({ {x}^(42) )} \boxed {} = ({ {x}^(200) )}

Solve for box,


\boxed {} = \frac{{x}^(200) }{{x}^(42)}

Since they are dividing we subtract the exponents:


\boxed {} = {x}^(200 - 42) = {x}^(158)

User Kelend
by
6.3k points
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