Negative Raised to a Power — Rules & Examples
Read this topicExplanations 3
- (Video) Intro to Evaluating Exponents by PatrickJMT Patrick JMT has a good video example of raising −1-1−1 to a power. Summary\large{\text{Summary}}Summary Exponentiation is a m…
By Ben Ferrara, Zora Gilbert, Alex Federspiel, Amy Feraco, Jonathan Heller, Joshua Siktar
- Negatives raise normally, but every other power will also be negative When you raise negative numbers to a power, their absolute value will increase normally, but the resulting …
By Zora Gilbert, Alex Federspiel, Caroline K, Joshua Siktar
- Powers of -1 For example: (−1)−1=−1, since −1 is odd(−1)0=1, since 0 is even(−1)53=−1, since 53 is odd(−1)122,000=1, since 122,000 is even\begin{align} (-1)^{-1} &= -1, \text{ s…
By Caroline K, Alex Federspiel, Joshua Siktar
Problems 32
- True or False\text{True or False}True or False === (−1)2x(-1)^{2x}(−1)2x, where xxx is any integer, is always equal to 1.1.1.
- True or False\text{True or False}True or False === (−1)2x+1(-1)^{2x+1}(−1)2x+1, where xxx is any integer, is always equal to −1.-1.−1.
- True or False\text{True or False}True or False === (−1)2n(-1)^{2n}(−1)2n, where nnn is any integer, is always positive.
- True or False\text{True or False}True or False === (−1)2n+1(-1)^{2n+1}(−1)2n+1, where nnn is any integer, will always be negative.
- What is (−3)2−(−32)\left(-3\right)^2-\left(-3^2\right)(−3)2−(−32)?
- Simplify (−1)7\left(-1\right)^7(−1)7, (−1)24\left(-1\right)^{24}(−1)24 and (−1)97\left(-1\right)^{97}(−1)97. All answers are given in the respective order, choose the right one.
- Simplify (−5)3\left(-5\right)^3(−5)3, choose the right answer(s).
- Calculate the following (−2)3+(−4)2+(−5)1\left(-2\right)^3+\left(-4\right)^2+\left(-5\right)^1(−2)3+(−4)2+(−5)1
- True or False\text{True or False}True or False === Squaring a negative always makes a positive.
- If a negative number is raised to an even exponent, the resulting power is always \begin{align}\quad\quad\\\hline \end{align}.
- What is (−8)3(-8)^3(−8)3?
- What is (−3)3(-3)^3(−3)3?
- What is (−3)4(-3)^4(−3)4?
- What is (−3)5(-3)^5(−3)5?
- What is (−4)2(-4)^2(−4)2?
- Which of the following is (−3)6(-3)^6(−3)6 equal to?
- Which of the following is (−3)5(-3)^5(−3)5 equal to?
- What is (−4)3(-4)^3(−4)3?
- What is (−5)−3(-5)^{-3}(−5)−3?
- What is 2×(−2)32\times (-2)^32×(−2)3 equivalent to?
- What is (−6)−2(-6)^{-2}(−6)−2?
- What is 3−1×(−3)43^{-1}\times (-3)^{4}3−1×(−3)4?
- What is (−1)−1?(-1)^{-1}?(−1)−1?
- (−1)×(−1)0×(−1)−1×(−1)23(-1)\times (-1)^0 \times (-1)^{-1} \times (-1)^{\frac{2}{3}}(−1)×(−1)0×(−1)−1×(−1)32
- (−1)+(−1)0+(−1)−1+(−1)23(-1)+ (-1)^0 + (-1)^{-1} +(-1)^{\frac{2}{3}}(−1)+(−1)0+(−1)−1+(−1)32
- What is (−1)23−(−1)32\left(-1\right)^{\frac{2}{3}}-\left(-1\right)^{\frac{3}{2}}(−1)32−(−1)23?
- Which is larger? AB−1−1(−1)−1\begin{array}{c|c} \text{A}&\text{B}\\ \hline -1^{-1}&(-1)^{-1} \end{array}A−1−1B(−1)−1
- Which is larger? AB1−1(−1)−1\begin{array}{c|c} \text{A}&\text{B}\\ \hline 1^{-1}&(-1)^{-1} \end{array}A1−1B(−1)−1
- Which is larger? AB−12(−1)2\begin{array}{c|c} \text{A}&\text{B}\\ \hline -1^{2}&(-1)^{2} \end{array}A−12B(−1)2
- Which is larger? AB(−1)3(−1)3985\begin{array}{c|c} \text{A}&\text{B}\\ \hline \left(-1\right)^{3}&(-1)^{3985} \end{array}A(−1)3B(−1)3985
- Which is larger? AB(−1)0−10\begin{array}{c|c} \text{A}&\text{B}\\ \hline \left(-1\right)^{0}&-1^{0} \end{array}A(−1)0B−10
- If xxx is a real number, then x2=?x^2 = ?x2=? (Select all that apply.)