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1. Simplify:

$open parentheses 12 to the power of begin display style 1 fifth end style end exponent over 27 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of 5 over 2 end exponent$

Solution not provided.

Ans. $2 over 3$

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2. Evaluate:

open parentheses 32 over 243 close parentheses to the power of negative 4 over 5 end exponent

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3. Evaluate:

left parenthesis 0.00032 right parenthesis to the power of negative 2 over 5 end exponent

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4. Evaluate:

open parentheses 81 over 49 close parentheses to the power of negative 3 over 2 end exponent

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5. Find the value of n, given (81)^5/n = 243.

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6. Simplify:

1 half square root of 486 minus square root of 27 over 2 end root.

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If $straight x equals fraction numerator square root of 7 over denominator 5 end fraction space and space 5 over straight x equals straight p square root of 7$ then find the value of the rational number p.

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8. Write the following in the ascending order of their magnitude

square root of 3 comma cube root of 4 comma space fourth root of 6.

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9. Evaluate:

open parentheses negative 1 over 27 close parentheses to the power of negative 2 over 3 end exponent

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10.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

4x² - 3x + 7

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Previous Year Papers

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Polynomials

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1. Simplify:

$open parentheses 12 to the power of begin display style 1 fifth end style end exponent over 27 to the power of begin display style 1 fifth end style end exponent close parentheses to the power of 5 over 2 end exponent$