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If \(x=-2\), what is the value of \(x^4-2x^3\)?

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Answer and explanation

Correct answer: 32

Substituting \(x=-2\) gives \((-2)^4-2(-2)^3=16-2(-8)=16+16=32\). Therefore, the correct answer is 32. Remember that a negative number has a positive value when raised to an even power, but remains negative when raised to an odd power.

Related tags

PolynomialsExponentsSubstitutionNegative NumbersAlgebraic Expressions

Frequently asked questions

What is the correct answer to this question?

32

Why is this the correct answer?

Substituting \(x=-2\) gives \((-2)^4-2(-2)^3=16-2(-8)=16+16=32\). Therefore, the correct answer is 32. Remember that a negative number has a positive value when raised to an even power, but remains negative when raised to an 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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