Eighth Grade Math Review One

1. Evaluate for the given variable and write your answer as a fraction. $t^{-6}$ for $t=2$

   Solution

   $\frac{1}{64}$

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2. Evaluate for the given variable and write your answer as a fraction. $n^{-3}$ for $n=-5$

   Solution

   $-\dfrac{1}{125}$

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3. Evaluate for the given variables and write your answer as a fraction. $r^{0}s^{-2}$ for $r=-8$ and $s=10$

   Solution

   $\dfrac{1}{100}$

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4. Simplify: $5k^{-3}$

   Solution

   $\dfrac{5}{k^3}$

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5. Simplify: $\dfrac{x^4}{y^{-6}}$

   Solution

   $x^4y^{6}$

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6. Simplify: $8f^{-4}g^0$

   Solution

   $\dfrac{8}{f^4}$

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7. Simplify: $\dfrac{a^{-3}}{b^{-2}}$

   Solution

   $\dfrac{b^2}{a^3}$

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8. Write as a decimal: $10^4$

   Solution

   $10,000$

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9. Write $100,000,000,000$ as a power of $10$.

   Solution

   $10^{11}$

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10. Simplify: $(\dfrac{4p^3}{2pq^4})^2$

    Solution

    $\dfrac{4p^4}{q^8}$

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