Grade 12 Math: Negative and Fractional Indices
A comprehensive worksheet for Grade 12 students covering negative and fractional indices with various question types.
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Grade 12 Math: Negative and Fractional Indices
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Any non-zero number raised to the power of zero is equal to .
2. When a number has a negative exponent, it means we take the of the base raised to the positive exponent.
3. A fractional exponent like x^(m/n) can be written as the nth root of x raised to the power of .
4. Which of the following is equivalent to 8^(-2/3)?
1/4
4
-4
-1/4
5. Simplify (x^5 * y^-2) / (x^-3 * y^4).
x^2 * y^2
x^8 / y^6
1 / (x^2 * y^6)
x^8 * y^2
6. Evaluate 27^(2/3) without using a calculator.
7. Simplify the expression (16x^4)^(-1/2). Express your answer with positive exponents.
8. Write the expression (√y)^5 in exponential form.
9. The expression (a^m)^n is equivalent to a^(m+n).
True
False
10. (x/y)^(-1) = y/x.
True
False
11. Given the equation 3^(x+1) = 9^(x-2), solve for x.
12. The area of a square is represented by A = s^2. If the side length 's' is given by 25^(1/4) units, find the area of the square.