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padilas [110]
3 years ago
14

The expression (p20)(p−4)2 is equivalent to pn . What is the value of n?

Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

n = 12

Step-by-step explanation:

Given

(p^{20})(p^{-4})^2 = p^n

Required

What is n?

(p^{20})(p^{-4})^2 = p^n

Apply law of indices

(p^{20})(p^{-4 * 2}) = p^n

Express -4 * 2 as -8

(p^{20})(p^{-8}) = p^n

Apply law of indices

p^{20 - 8} = p^n

p^{12} = p^n

Cancel p on both sides

12 = n

n = 12

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