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exponent

  1. math_celebrity

    Explain the relationship between "squaring" a number and finding the "square root" of a number. Use

    Explain the relationship between "squaring" a number and finding the "square root" of a number. Use an example to further explain your answer. Squaring a number means raising it to the power of 2 The square root of a number undoes a square of a number. So square root of x^2 is x x squared is...
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    total of a number and the square of a number

    total of a number and the square of a number The phrase a number means an arbitrary variable, let's call it x. The square of a number means we raise x to the power of 2. x^2 The total means we add x squared to x: x + x^2
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    When finding the power of a power, you _____________________ the exponents

    When finding the power of a power, you _____________________ the exponents Multiply Example: (a^b)^c = a^bc
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    2^46 is how many times as many as 2^42

    2^46 is how many times as many as 2^42 We can break this apart as follows: 2^46 = 2^42 * 2^4 2^4= 16 times as many
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    the square of the sum of two numbers

    the square of the sum of two numbers Let the first number be x. Let the second number be y. The sum is: x + y Now we square that sum by raising the sum to a power of 2: (x + y)^2
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    A times r squared multiplied by h

    A times r squared multiplied by h r squared means we raise r to the power of 2: r^2 a times r squared: ar^2 Multiplied by h: ahr^2
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    the total of 3 times the cube of u and the square of u

    the total of 3 times the cube of u and the square of u The cube of u means we raise u to the power of 3: u^3 The square of u means we raise u to the power of 2: u^2 The total of both of these is found by adding them together: u^3 + u^2
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    2/5 the cube of a number

    2/5 the cube of a number The phrase a number means an arbitrary variable, let's call it x. The cube of a number means we raise x to the power of 3: x^3 2/5 of the cube means we multiply x^3 by 2/5: (2x^3)/5
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    Raise the difference of V and 7 to the 10th

    Raise the difference of V and 7 to the 10th The difference of V and 7: V - 7 Raise this to the 10th power: (V - 7)^10
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    Raise F to the second power then divide G by the result

    Raise F to the second power then divide G by the result F to the second power: F^2 Divide G by the result: G/F^2
  11. math_celebrity

    8 is subtracted from the square of x

    8 is subtracted from the square of x Take this algebraic expression in parts: The square of x means we raise x to the power of 2: x^2 8 subtracted from the square of x is found by subtracting 8 from x^2 x^2 - 8
  12. math_celebrity

    twice the square of the product of x and y

    twice the square of the product of x and y Take this algebraic expression in pieces: The product of x and y means we multiply x and y: xy The square of the product means we raise xy to the power of 2: (xy)^2 = x^2y^2 Twice the square means we multiply the square by 2: 2x^2y^2
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    3 to the power of 2 times 3 to the power of x equals 3 to the power of 7

    3 to the power of 2 times 3 to the power of x equals 3 to the power of 7. Write this out: 3^2 * 3^x = 3^7 When we multiply matching coefficients, we add exponents, so we have: 3^(2 + x) = 3^7 Therefore, 2 + x = 7. To solve this equation for x, we type it into our search engine and we get: x = 5
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    (2n)^3 without exponents

    (2n)^3 without exponents This can be written as follows: 2^3 * n^3 8n^3
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    Madeline’s science quiz consists of 10 questions, all of which are true or false. How many different

    Madeline’s science quiz consists of 10 questions, all of which are true or false. How many different choices for answering the 10 questions are possible? 2 ways of answering each True or False Question ^ (10 different ways to answer each question) 2^10 = 1,024 ways
  16. math_celebrity

    Start with t and cube it.

    Start with t and cube it. Cubing a variable means raising it to the power of 3: t^3
  17. math_celebrity

    if 1 person with corona spreads it to 3 people and those people spread it to 3 people, how many peop

    if 1 person with corona spreads it to 3 people and those people spread it to 3 people, how many people have corona So the spread rate is 3/1 = 3. If 3 people have it, then they spread it to 3 x 3 = 9 people.
  18. math_celebrity

    1, 9, 25, 49, .......... What is next

    1, 9, 25, 49, .......... What is next 1^2 = 1 3^2 = 9 5^2 = 25 7^2 = 49 So this pattern takes odd numbers and squares them. Our next odd number is 9: 9^2 = 81
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    How can you rewrite the number 1 as 2 to a power?

    How can you rewrite the number 1 as 2 to a power? There exists an identity which says, n^0 = 1 where n is a number. So 2^0 = 1
  20. math_celebrity

    5 times g reduced by the square of h

    5 times g reduced by the square of h Take this algebraic expression in pieces: 5 times g means we multiply g by 5: 5g The square of h means we raise h to the 2nd power: h^2 5 times g reduced by the square of h means we subtract h^2 from 5g: 5g - h^2
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