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