Laws of Exponents Quiz
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Laws of Exponents Quiz

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@VibrantIron

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Questions and Answers

What is another name for exponents?

  • Multiplicands
  • Powers (correct)
  • Subtractors
  • Divisors

    • What does 82 mean?

  • 8 to the power 3
  • 16 to the power 3
  • 8 to the power 1
  • 8 to the power 2 (correct)

    • What does x0 equal to?

  • 2
  • x
  • 0
  • 1 (correct)

    • What happens to a number when the exponent is negative?

    <p>It becomes smaller</p> Signup and view all the answers

    Which of the following is NOT one of the Laws of Exponents?

    <p>$x^0 = 0$</p> Signup and view all the answers

    What is the key to understanding the Laws of Exponents?

    <p>Writing all the letters down</p> Signup and view all the answers

    When applying the law (xm)n = xmn, how many times do we end up multiplying 'x'?

    <p>m × n times</p> Signup and view all the answers

    According to the law (xy)n = xnyn, what does (xy)3 equal to?

    <p>xxxyyy</p> Signup and view all the answers

    What is the result of x2/x2 according to the law xm/xn = xm-n?

    <p>x0</p> Signup and view all the answers

    In the law xm/n = n√xm = (n√x )m, what does x(mn) equal to?

    <p>(xm)1/n</p> Signup and view all the answers

    According to the law (x/y)n = xn/yn, what is the result of (x/y)3?

    <p>(xxx)/(yyy)</p> Signup and view all the answers

    What is the value of x1/n where n is a positive integer?

    <p>The nth root of x</p> Signup and view all the answers

    When simplifying x(mn) using the law x(mn) = x(m × 1/n), what is the result?

    <p>(xm)1/n</p> Signup and view all the answers

    Study Notes

    Exponents

    • Exponents are also known as indices or powers.

    Exponent Notation

    • The notation 82 means 8 raised to the power of 2, or 8 squared.
    • Any number raised to the power of 0 equals 1.

    Negative Exponents

    • When a number has a negative exponent, it becomes a reciprocal (i.e., 1 divided by the number).

    Laws of Exponents

    • The key to understanding the Laws of Exponents is to recognize that exponents are a shorthand for repeated multiplication.
    • One of the Laws of Exponents is not "x^m × x^n = x^(m+n+c)", where c is a constant.

    Power of a Power

    • When applying the law (xm)n = xmn, we end up multiplying 'x' mn times.

    Product of Powers

    • According to the law (xy)n = xnyn, (xy)3 equals to x3y3.

    Quotient of Powers

    • The result of x2/x2 according to the law xm/xn = xm-n is 1 (since 2-2 = 0).

    Power of a Product

    • In the law xm/n = n√xm = (n√x)m, x(mn) equals to (n√x)m.
    • According to the law (x/y)n = xn/yn, the result of (x/y)3 is x3/y3.

    Fractional Exponents

    • The value of x1/n, where n is a positive integer, is the nth root of x.

    Simplifying Exponents

    • When simplifying x(mn) using the law x(mn) = x(m × 1/n), the result is x(m/n).

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    Description

    Test your knowledge about the laws of exponents, also known as powers or indices. Learn how exponents indicate the number of times to use a number in multiplication, and practice simplifying expressions using exponent rules.

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