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Popular >

simplify p(1-p)^x(p(1-p)^y)

Solution

simplify

p (1 - p)^{x} (p (1 - p)^{y})

Solution

p^{2} (- p + 1)^{x + y}

Solution steps

p (1 - p)^{x} (p (1 - p)^{y})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(1 - p)^{x} (1 - p)^{y} = (1 - p)^{x + y}

= pp (1 - p)^{x + y}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

pp = p^{1 + 1}

= p^{1 + 1} (1 - p)^{x + y}

Add the numbers:

1 + 1 = 2

= p^{2} (1 - p)^{x + y}

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Frequently Asked Questions (FAQ)

What is p(1-p)^x(p(1-p)^y) ?
The solution to p(1-p)^x(p(1-p)^y) is p^2(-p+1)^{x+y}