34. Read the text carefully and answer the questions: A Ferris wheel (or a big wheel in the United Kingdom) is an amsuement ride consisting ofa rotati … So when you time 5 by itself 3 times you get 125 5^3(^ symbol is what we use to symbolize exponents) 5 x 5 x 5 = 5^3 so the first two 5 is 25(5x5=25) now we have 25 x 5 25 x 5 = (20 + 5) x 5 (20 x 5) + (5x5) 100 + 25 125 Another example: 4^2 = ? since "^2" says the power is rise to 2 that means we take the left number(4) and multiple it by 9^(x -3) = 729. as 9^(x -3) = 9^3 . . . . . . matches the second selection __ Recognizing that 9 = 3^2, a couple of other equivalent forms can be made. (3^2)^(x -3) = (3^2)^3. 3^(2x-6) = 3^6. or, taking the square root, 3^(x -3) = 3^3. None of these forms match any answer choices. _____ The solution will be found by matching exponents Training time 😃 ( DHS King 3 - 729 Battle 2 Blue Sponge )💸 Thank so much Sean Shu, Emratthich Coach, Marc Klinger, Serena Yu, Fuliao Li, Yu Hongyi, 白 帆 To find the exponent, we can repeatedly divide 729 by 3 to see how many times we can do this before we get to 1, as this will indicate the power to which 3 must be raised. The sequence of divisions would look like this: 729 / 3 = 243, 243 / 3 = 81, 81 / 3 = 27, 27 / 3 = 9, 9 / 3 = 3, and finally, 3 / 3 = 1. 729 is divisible by 3, 729/3 = 243. 243 is divisible by 3, 243/3 = 81. 81 is divisible by 3, 81/3 = 27. 27 is divisible by 3, 27/3 = 9. 9 is divisible by 3, 9/3 = 3. 3 is a prime number. Prime Factorization of 729: 729 = 3 x 3 x 3 x 3 x 3 x 3. Prime Factorization of 729 in Exponential Form: 729 = 3 6. The solution above and other related Algebra. Factor y^3+729. y3 + 729 y 3 + 729. Rewrite 729 729 as 93 9 3. y3 + 93 y 3 + 9 3. Since both terms are perfect cubes, factor using the sum of cubes formula, a3 +b3 = (a+b)(a2 −ab+b2) a 3 + b 3 = ( a + b) ( a 2 - a b + b 2) where a = y a = y and b = 9 b = 9. (y+9)(y2 −y⋅9+ 92) ( y + 9) ( y 2 - y ⋅ 9 + 9 2) 81x=72981 to the power of x equals 729Take the log of both sides log10(81x)=log10(729) Rewrite the left side of the equation using the rule for the log of a power x•log10(81)=log10(729) Isolate Answer link. root (3)729=9 Let us first factorize 729 in to rime factors. As sum of digits of 729 is 18, it is divisible by 9 i.e. we can divide it twice by 3. Therefore 729=3xx3xx81 Again 81 is 9^2, hence divisible bt 3 four times more. Hence, 729=3xx3xx3xx3xx3xx3xx3 and root (3)729=root (3) (ul (3xx3xx3)xxul (3xx3xx3)) = 3xx3=9. 81 = 9^2 Write out the powers of 9 like this: 9^1 = 9 9^2 = 9 xx 9 = 81 " " larrThis is what we're looking for. 9^3 = 9 xx 9 xx 9 = 729 vdots Therefore, 81 = 9^2. Final Answer Answer and Explanation: 1. Become a Study.com member to unlock this answer! Create your account. View this answer. When a number is raised to a fractional power, such as a b / c, then the number can be rewritten as. a b / c = ( a c) b. Theref See full answer below. LKGRenegade22. I'm about to pick up an 03 Cobra next week with a new Whipple setup on the car. I am wondering what are the peak numbers you guys have seen on a 140AX Whipple 2.3 with the new style rotor on pump gas (93 octane here) and stock motor, no nitrous. This car is putting down 629/621 on 17PSI but it has stock exhaust manifolds and the The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as \( \sqrt[3]{-64} = -4 \). The cube root of 8 is written as \( \sqrt[3]{8} = 2 \). The cube root of 10 is written as \( \sqrt[3]{10} = 2.154435 \). What is a Cube Root as an Exponent? The cube root of x is the same as x raised to the 1/3 power. This is written as By Factor theorem, x-k is a factor of the polynomial for each root k. Divide x^{3}-729 by x-9 to get x^{2}+9x+81. Solve the equation where the result equals to 0. How do you solve 3x = 729 ? Multiply each side by log10 . Eventually, x = 6 Explanation: Usually, just log means log10 , so we can multiply both sides by log. log3x =log729 32x-1=729 One solution was found : x = 730/9 = 81.111 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the .
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  • 729 to the 2 3 power