Exponents — Definition & Examples
Read this topicExplanations 3
- Whole Number Exponents When you raise a number (called the base) to a whole number exponent (called the power), you're essentially multiplying that number by itself however many…
By Zora Gilbert, Zilong, Moor Xu, Caroline K, Alex Federspiel, Joshua Siktar, Jonathan Heller
- (Video) Intro to Exponents by Math Antics Here's a good video by mathantics that explains the basics of exponents! Summary\large{\text{Summary}}Summary The video draws an analog…
By Alex Federspiel, Zora Gilbert, Liza Sulkin, Jonathan Heller, Joshua Siktar
- What are Exponents? Let's say you have one number (called a base), and to the top right of it, there's another number (called an exponent or a power). For example, consider: 232…
By Caroline K, Alex Federspiel
Problems 86
- Which of these is 333^333?
- Which one is 252^525?
- How many ways are there to choose (not necessarily distinct) integers a,b,ca,b,ca,b,c from the set {1,2,3,4}\{1,2,3,4\}{1,2,3,4} such that a(bc)a^{(b^c)}a(bc) is divisible by 44…
- 232^323 is the same as:
- What is three raised to the second power?
- What is five raised to the third power?
- What is four raised to the fourth power?
- What is two raised to the fifth power?
- What is one raised to the eighty-sixth power?
- 434^343 is equivalent to which of the following?
- Which of the following expressions contain exponents?
- 434^343 is the same as writing:
- Six cubed is the same as writing:
- Evaluate the following: (−8)2×(−7)2(-8)^2\times(-7)^2(−8)2×(−7)2
- Evaluate the following: (6)2×(10)3(6)^2\times(10)^3(6)2×(10)3
- Evaluate the following: (3)4×(9)2(3)^4\times(9)^2(3)4×(9)2
- Evaluate the following: (7)2−(−4)3(7)^2-(-4)^3(7)2−(−4)3
- Evaluate the following: (2)6−(8)2(2)^6-(8)^2(2)6−(8)2
- Simplify 737^373.
- Simplify 10310^3103.
- Simplify the expression 23+24.2^3+2^4.23+24.
- True or False\text{True or False}True or False === An integer squared is always divisible by 222.
- Which of the following are positive numbers?
- What is (−1)13(−4)(9)(-1)^{13}(-4)(9)(−1)13(−4)(9)?
- What is (−1)43634642531645765976(8)(8)(-1)^{43634642531645765976}(8)(8)(−1)43634642531645765976(8)(8)?
- What is (−1)16(5)(−7)(-1)^{16}(5)(-7)(−1)16(5)(−7)?
- What is (−1)72567260505797(−9)(−3)(-1)^{72567260505797}(-9)(-3)(−1)72567260505797(−9)(−3)?
- What does squared mean?
- What is equal to 555 cubed?
- 656^565 is equal to?
- 636^363 Is equal to? Check All That Apply.
- Which of the following is equal to 555 raised to the third power? Check all that apply.
- Evaluate 74×1127^4 \times 11^274×112.
- What is 292^929?
- Evaluate 232^323
- Evaluate 323^232
- Evaluate 404^040
- Find n0n^0n0 for any nnn: (Hint: think about why this generalizes)
- Evaluate 636^363.
- Evaluate −73-7^3−73.
- Evaluate 272^727.
- Evaluate (−9)2(-9)^2(−9)2.
- Evaluate 030^303.
- Evaluate 100000000000001000000000000^010000000000000.
- If you start with a nonzero (positive or negative) number, which of the following operations will always create a positive number?
- Which one of the following powers of 222 is irrational?
- Which of the following are negative?
- During the basketball game, Justine scored twenty-eight 2 pointers. Which of the following is another way to express the total number of points Justine scored?
- True or False\text{True or False}True or False === A number can be taken to a fractional exponent.
- True or False\text{True or False}True or False === A decimal cannot be an exponent.
- True or False\text{True or False}True or False === A variable cannot be an exponent.
- True or False\text{True or False}True or False === An exponent can have an exponent.
- True or False\text{True or False}True or False === −22=(−2)2-2^2=(-2)^2−22=(−2)2
- Mereli has a postcard she wants to send her friend. Sadly, the height, hhh, is too small so she doubles it. But this also turned out to be too small so she doubled it again. Onc…
- True or False\text{True or False}True or False === If an odd number is raised to an even exponent, the resulting power is always even.
- What is 838^383?
- What is 242^424?
- What is 333^333?
- What is 343^434?
- What is 525^252?
- What is 636^363?
- What is 626^262?
- What is 727^272?
- What is 38÷353^8\div3^538÷35?
- 100=?10^0 = ?100=?
- 010=?0^{10} = ?010=?
- Let nnn represent a positive integer. What is another way to write 2n2^n2n, no matter what the value of nnn is?
- Let nnn represent an integer. What is another way to write n2n^2n2, no matter what the value of nnn is?
- Find 343^434 and write the result in expanded notation (using exponents).
- The number 333^333 can be written in expanded notation, starting with △×10□+…,\triangle\times10^\square+\dots,△×10□+…, where △\triangle△ represents the leftmost digit, and □\squ…
- 1×102+5×101+4=?1 \times 10^{2} + 5 \times 10^{1} + 4 = ?1×102+5×101+4=? (Select all that apply.)
- 3×100+1×10+4=?3\times100+1\times10+4 = ?3×100+1×10+4=? (Select all that apply.)
- Will the product of (−1)23×(−1)12×(−1)×(−1)48(-1)^{23}\times(-1)^{12}\times(-1)\times(-1)^{48}(−1)23×(−1)12×(−1)×(−1)48 be positive or negative?
- What is 818^181?
- Which is bigger: 232^323 or 323^232?
- Which is bigger: 242^424 or 424^242?
- Which is bigger: 252^525 or 525^252?
- Which of the following is equivalent to 737^373?
- Evaluate: 242^424
- Evaluate: 434^343
- Which of the following are equal to 818181?
- Evaluate: −53-5^3−53
- Select equivalent expressions: 343^434
- Evaluate: (−5)2(-5)^2(−5)2
- Evaluate: 2222^{2^2}222
- Select equivalent expressions: 3253^{2^5}325