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If \(x=-4\), what is the value of \(x^4+x^3\)?

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Answer and explanation

Correct answer: 192

\((-4)^4=256\) because an even power gives a positive result, while \((-4)^3=-64\) because an odd power retains the negative sign. Therefore, \(x^4+x^3=256+(-64)=192\). Exam tip: Carefully check the sign when raising a negative number to an even or odd power.

Related tags

PolynomialsNegative SubstitutionLaws Of Exponents

Frequently asked questions

What is the correct answer to this question?

192

Why is this the correct answer?

\((-4)^4=256\) because an even power gives a positive result, while \((-4)^3=-64\) because an odd power retains the negative sign. Therefore, \(x^4+x^3=256+(-64)=192\). Exam tip: Carefully check the sign when raising a negative number to an even or odd power.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.

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