The expressionย  (4๐‘ฅ13๐‘ฆโˆ’1)32(๐‘ฅ๐‘ฆ)52 can be written in the form ๐‘ร—๐‘ฅ๐‘žร—๐‘ฆ๐‘Ÿ, where ๐‘,๐‘ž,๐‘Ÿ are integers. What is ๐‘+๐‘ž+๐‘Ÿ ? (Give only the numberย as your answer.)

Question

The expressionย  (4๐‘ฅ13๐‘ฆโˆ’1)32(๐‘ฅ๐‘ฆ)52 can be written in the form ๐‘ร—๐‘ฅ๐‘žร—๐‘ฆ๐‘Ÿ, where ๐‘,๐‘ž,๐‘Ÿ are integers. What is ๐‘+๐‘ž+๐‘Ÿ ? (Give only the numberย as your answer.)
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Solution 1

First, let's simplify the expression:

(4๐‘ฅ^13๐‘ฆ^โˆ’1)^32(๐‘ฅ๐‘ฆ)^52

= 4^32 * x^(1332) * y^(-132) * x^52 * y^52

= 4^32 * x^(416+52) * y^(52-32)

= 4^32 * x^468 * y^20

So, ๐‘=4^32, ๐‘ž=468, ๐‘Ÿ=20.

Then, ๐‘+๐‘ž+๐‘Ÿ = 4^32 + 468 + 20 = 4294967700. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered stud

ol designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem. Knowee AI StudyGPT is a powerful AI-

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