Q&A for How to Add Exponents

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  • Question
    What is x cubed plus x cubed?
    Community Answer
    Since the two expressions have the same base (x) and the same variable (3), you can just add the coefficients. If a variable has no coefficient, it really has a coefficient of 1. The exponents will stay the same. So: x^3 + x^3 (1)x^3 + (1)x^3 2x^3
  • Question
    How do I add x to the power of 2 plus 4x?
    Community Answer
    The exponents are not same, therefore it is impossible to add it.
  • Question
    How do figure out what X squared plus X to the negative 2 is?
    Community Answer
    X^2 +X^-2. It cancels itself because ^2 and ^-2 are opposites. That makes X raised to the 1st. X^1 is X.
  • Question
    Why can't I add exponents of unlike bases?
    Donagan
    Top Answerer
    An exponent affects only its base and nothing else. Therefore, it wouldn't make sense to add (or subtract) exponents of different bases.
  • Question
    How do I add exponents of the same base?
    Donagan
    Top Answerer
    It's simple addition. An example: x^2 multiplied by x^4 equals x^(2+4), or x^6.
  • Question
    What is x + x to the third power?
    Community Answer
    First, x + x is 2x. When you raise 2x to the third power, you get 8x^3.
  • Question
    What is x power 2 + x power 2 + 4x?
    Donagan
    Top Answerer
    x² + x² + 4x = 2x² + 4x = 2x(x + 2).
  • Question
    13 squared plus 15 squared in its simplest form is what?
    Donagan
    Top Answerer
    13² + 15² = 169 + 225 = 394.
  • Question
    What is x4 + 7x2 - 44?
    Community Answer
    Remember BODMAS (Brackets of division, multiplication, addition and subtraction) meaning you always divide or multiply before doing addition or subtraction. Then you need to get X alone. Remember also that when taking figures to the other side of the equal sign, you need to change it either from a positive to a negative or vice versa, depending on what it originally was. 4X + 14 - 44 = ? 4X = 44 - 14 4X = 30 X = 30/4 X=7.5
  • Question
    How can I add the same variable with different exponents?
    Community Answer
    Discover what the variable is, then multiply it by itself the number of time sthe exponemt tells you. For example: 4 3, x + x =. If x=5, 5x 5 x 5 x 5 = 625, 5 x 5 x 5 = 125, 125 + 625 = 750.
  • Question
    4^44 + 4^44 + 4^44 + 4^44 = 4^x, what is the value of x?
    Donagan
    Top Answerer
    The left side of the equation consists of four groups of 4^44. That can be re-written as 4 x 4^44 (or 4^1 x 4^44, which equals 4^45). That means 4^45 = 4^x. Therefore, x = 45.
  • Question
    How do I find x for 9^(x + 1) + 3^(2x + 1) = 36?
    Donagan
    Top Answerer
    You can solve this by inspection: you want to add some power of 9 to some power of 3 in order to get 36. We know that 27 + 9 = 36. 9^(3/2) = 27, and 3² = 9. So we need (x+1) to equal 3/2, and it does if x=½. We need (2x+1) to equal 2, and it does if x = ½. So the equation works when x=½.
  • Question
    If x^2 + 4x is said to be impossible, isn't 2x^2 + 4x also impossible?
    Donagan
    Top Answerer
    Yes, if you define x² + 4x as "impossible," 2x² + 4x would be similarly "impossible."
  • Question
    Root5x + root7x is equal to what?
    Donagan
    Top Answerer
    √5x = (√5)(√x), and √7x = (√7)(√x). So the above expression can be written [(√5)(√x) + (√7)(√x)], which equals [(√5 + √7)(√x)] = (2.236 + 2.646)(√x) = 4.882√x.
  • Question
    How do figure out 8^x=6^2x?
    I_l1ke_gam3s
    Community Answer
    If you take the natural log on both sides, you're allowed to say that x ln 8 = 2x ln 6. We notice that if we cancel x, we get the contradiction ln 8 = 2ln 6, which is impossible. However, note that x can be zero, and satisfies 8^x=6^2x=1.
  • Question
    Can I add x to the power of two and x to the power of 3?
    Community Answer
    No. It's just simply x² + x³. That can be factored into x²(1 + x), but that doesn't combine the two terms in any way.
  • Question
    How do you add exponents which have powers as a variable? For example, 3 to the power 4x+2 added to 2 to the power 2x?
    Community Answer
    First of all, the bases have to be the same before the numbers can be added together. (In your example, the bases are not the same.) Also, when exponents contain variables (as in your example), the numbers cannot be numerically evaluated in order to add them together.
  • Question
    3^3x+2+3^3x+1=108 then value of x?
    I_l1ke_gam3s
    Community Answer
    This simplifies to 2(3^3x) + 3 = 108. 2(3^3x) = 105, 3^3x = 105/2, 3x = log3(105/2), x = log3(105/2)/3. Using the relationship log3(x) = log10(x)/log10(3), we can calculate log3(105/2)/3 to log10(105/2)/log10(3) x 1/3 ~= 1.202
  • Question
    How do I solve 2^2x - 2^x+3 + 2^4?
    I_l1ke_gam3s
    Community Answer
    All you can do is simplify this (this isn't an equation): This becomes 2^2x - 2^x + 3 + 16 (2^4 = 16), which then simplifies to 2^2x - 2^x + 19 (3+16 = 19).
  • Question
    What is a trick to solve 3^10+3^10+3^10?
    I_l1ke_gam3s
    Community Answer
    3 to the tenth power is 59049, then multiply that by 3. Final answer: 177,147.
  • Question
    What is the sum of 6x+x²?
    I_l1ke_gam3s
    Community Answer
    You cannot add those terms together, because they are not "like" terms. All you can do is factor that expression or keep it the same. Its factored form is x(6 + x).
  • Question
    How can I solve this inequality: 2x + 3 > -15 + x?
    I_l1ke_gam3s
    Community Answer
    Subtract x from both sides, leaving you with x + 3 > -15. Then subtract 3 from both sides: x > -18.
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