If \\(x=-3\\), what is the value of \\(x^4+x^3\\)?
Answer and explanation
Correct answer: 54
\\((-3)^4=81\\) because an even power gives a positive result, while \\((-3)^3=-27\\) because an odd power retains the negative sign. Therefore, \\(x^4+x^3=81+(-27)=54\\), so option B is correct. Exam tip: Always 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?
54
Why is this the correct answer?
\\((-3)^4=81\\) because an even power gives a positive result, while \\((-3)^3=-27\\) because an odd power retains the negative sign. Therefore, \\(x^4+x^3=81+(-27)=54\\), so option B is correct. Exam tip: Always 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
