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Tenth Grade (Grade 10) Exponents Questions

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Grade 10 Exponents
Grade 10 Exponents CCSS: HSN-RN.A.2
Express the following equations in simplest radical form using only one radical sign.

[math]9^(1/2)*x^(3/2)*y^(5/4)[/math]
  1. [math]9sqrt(x^3y^(5/2))[/math]
  2. [math]3sqrt(x^3y^(5))[/math]
  3. [math]3sqrt(x^3y^(5/2))[/math]
  4. [math]sqrt(9x^3y^(5))[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
Express the following equations in simplest radical form using only one radical sign.
[math]27^(1/3)*x^(4/5)*y^(2/5)*z^(1/5)[/math]
  1. [math]3root5(x^4y^2z)[/math]
  2. [math]27root15(x^4y^2z)[/math]
  3. [math]root5(3x^4y^2z)[/math]
  4. [math]1/(3root5(x^4y^2z))[/math]
Grade 10 Exponents
[math](6.1 x 10 ^5) (4 x 10 ^-9)[/math]Perform the indicated computation, write your answer in scientific notation.
  1. 2.44
  2. [math]2.44 x 10 ^ 3[/math]
  3. [math]2.44 x 10 ^ -3[/math]
  4. [math]2.44 x 10 ^14[/math]
Grade 10 Exponents
Perform the indicated function and simplify your answer.
[math](3x^2y^3)^3[/math]
  1. [math]27x^6y^9[/math]
  2. [math]27x^5y^6[/math]
  3. [math]9x^6y^4[/math]
  4. [math]9x^5y^6[/math]
Grade 10 Exponents
[math](6.9 x 10^8)/(3 x 10^5) [/math]

Perform the indicated computations. Write the answers in scientific notation.
  1. [math]2.3 x 10 ^3[/math]
  2. [math]2.3 x 10^13[/math]
  3. [math]2.3 x 10^-3[/math]
  4. [math]2.3 x 10^4[/math]
Grade 10 Exponents
How do you express 1,870,000 in scientific notation?
  1. [math]5.49 x 10^-8[/math]
  2. [math]1.87 x 10^-6[/math]
  3. [math]1.87 x 10^6[/math]
  4. [math]187 x 10^6[/math]
Grade 10 Exponents
Grade 10 Exponents
The number 0.00003007 expressed in scientific notation is
  1. [math]3.007 x 10^5[/math]
  2. [math]3.7 x 10^-5[/math]
  3. [math]3.007 x 10^-5[/math]
  4. [math]3.007 x 10^-4[/math]
Grade 10 Exponents CCSS: HSN-RN.A.2
An oval is [math]1/2 root(5)(x^2y^3)[/math] meters long. If a Kara completes [math]5 root(3)(x^2y)[/math] laps, how many meters has she run? Give your answer in simplified radicals.
  1. [math]5/2x root(15)(xy^14)[/math]
  2. [math]5/2x root(3)(xy^14)[/math]
  3. [math]5 root(3)(xy^30)[/math]
  4. [math]2x root(15)(xy^14)[/math]
Grade 10 Exponents CCSS: HSF-LE.A.4
Grade 10 Exponents CCSS: HSN-RN.A.2
What is the ratio of [math]3 root(3)(x^2) sqrt(y^3)[/math] to [math]4 sqrt(x^3) root(3)(y^2)[/math] in the form __:1? Your answer should be in the form of a radical.
  1. [math]3y^(5/6):4x^(5/6)[/math]
  2. [math](3y^(5/6))/(4x^(5/6)):1[/math]
  3. [math](3root(6)(y^5))/(4root(6)(x^5)):1[/math]
  4. [math]3root(6)(y^5):4root(6)(x^5) [/math]
Grade 10 Exponents
Grade 10 Exponents
Grade 10 Exponents
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