# Questions on Algebra: Exponents and operations on exponents answered by real tutors!

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 Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth

 Question 598235: find the value of 4 to the 4th power Click here to see answer by solver91311(16868)

 Question 598386: What is the remainder when 5^30 is divided by7? Click here to see answer by richard1234(5390)

 Question 598175: Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b^3)^2 Click here to see answer by richard1234(5390)

 Question 599410: I want to solve the exponential equation 2^x^3 + 5 = 0, where x^3 is the exponent to 2, but I can't take the (ln) of a negative number. Click here to see answer by Alan3354(30983)

 Question 599454: What is (6.2 x 10^11) / (8 x 10^-3) in scientific notation? Click here to see answer by josmiceli(9661)

 Question 599629: -2x + -^2x= 4 HOW does this make sense? Its on a pre test for the college entrance test. It doesn't make sense does it? It has me stumped, and I am probably not realizing something that is really obvious. But using brackets, it does not WORK OUT to equal 4????? Click here to see answer by Alan3354(30983)

 Question 599765: This is a scientific notation what is 4.o times 10^-3 subtracted by 2.5 times 10^-3 Click here to see answer by Alan3354(30983)

 Question 599866: How long will it take any quantity of iodine 131 to decay to 25% of its initial amount, knowing that it decays according to the function defined by A(t)=A_0 e^(-.087t), where t is time in days? Click here to see answer by nerdybill(6951)

 Question 600333: a right angle hypotenuse is 6m and one leg is 2 times the square root of 5 find the length of the other leg Click here to see answer by mananth(12270)

 Question 601232: I came up with the answer of -10 for this problem, could someone tell me if that is correct? -a^2-3a(a-n) if a = -2, n = -1 Click here to see answer by jim_thompson5910(28504)

 Question 601353: I have to solve for V I=2V/V+2r Thanks Click here to see answer by flame8855(424)

 Question 602824: ((a^6)(b^-10))^(-3/2) I need this simplified. I have been playing around with it for awhile. The best I myself have come up with is a^-9 b^15 . The simplifier gives me (a^6/b^10)^-3/2 . I KNOW the correct answer is b^15 / a^9 . I would like to know how to solve this. Please help ? Click here to see answer by stanbon(57246)

 Question 604129: write in scientific notation (2 times 10 to the 8 power)(8 times 10 to the 2 power) Click here to see answer by rfer(12647)

 Question 604381: How do you solve x to the fifth minus one, divided by x-1? so (x^5)-1/x-1 Click here to see answer by flame8855(424)

 Question 605157: Hi there! I need some help finding out the rule of simplifying the common bases in fractional exponent equations. For example 3 to the 4th power multiplied by 2 to the 3rd power over 3 to the 7th power multiplied by 2 to the 2nd power, all raised to the -2 power equals 729/4. I understand how to turn the -2 to a positive 2 exponent by flipping the bottom part of the equation and putting it on top and then moving the top part of the equation to the bottom. What I do not understand is how I find the common bases before raising each factor to the 2nd power. My book shows that 3 to the 7th power becomes 3 to the 3rd power and that the 2 to the 2nd power is completely cancelled out. My book also shows that the 3 to the 4th power is completely cancelled out and that the 2 to the 3rd power becomes 2 to the 1st power. I don't understand how that happened. If they took the 3 to the 7th exponent and the 3 to the 4th exponent and subtracted the exponents (7-4=3), that makes sense. However, what does not make sense to me is that if that is true, then the 2 to the 2nd power and the 2 to the 3rd power should be (2-3= -1); however, the book shows that it is not a -1 exponent, but a positive 1 exponent. What is the rule here? Thank you :) Click here to see answer by Alan3354(30983)

 Question 605226: Simplify the expression: top two exponents are: -1/2 and 5/2 (they get cut off a little, at least on my screen) Click here to see answer by lwsshak3(6472)

 Question 605402: how many feet would a steel marble fall where d=16t2 Click here to see answer by Alan3354(30983)

 Question 605791: 32 to the power n =2 how to find n Click here to see answer by nerdybill(6951)

 Question 605789: 32 to the power n =2 how to find n Click here to see answer by scott8148(6628)

 Question 607999: Simplify. (x^2 + 5x + 8)(x^2 + 2x + 6) Click here to see answer by lynnlo(4155)

 Question 608471: The original problem was (4^(x+y))/(8^(x+y))=512; I simplified to (1/2)^(x+y)=512, then multiplied by 2 and got 1^(x+y)=1024, but i dont know how to get that into the form x=.... or y=.... Please Help!! Click here to see answer by jsmallt9(3296)

 Question 608911: How do I solve? 8 over 27 = b exponent -3 Click here to see answer by jsmallt9(3296)

 Question 609380: will you help to answer this equation : Find the value of (-8) to the power of three if the laws of multiplying a negative number and a positive number ( is the exponent 3 a positive number ) the result is a positive number then is the answer (24) ? Click here to see answer by flame8855(424)

 Question 609622: When subracting equations with variables and exponents, would you also subtract the exponents? example: 2x^8y^9 - 4x^6y^6 Click here to see answer by ewatrrr(10682)