Exponents and Powers
Math ⇒ Algebra
Exponents and Powers starts at 6 and continues till grade 12.
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See sample questions for grade 11
Explain the meaning of a negative exponent.
Express 0.0001 as a power of 10.
Express 1/27 as a power of 3.
If 5x = 125, what is the value of x?
If a = 2 and b = 3, evaluate (a2b)3.
If a3 = 27, what is the value of a?
If x = 25 and y = 23, what is x/y?
If x = 2n and y = 2n+1, what is y/x?
Which law of exponents is used to simplify am × an = am+n? (1) Product Law (2) Power Law (3) Quotient Law (4) Zero Exponent Law
Which of the following is equal to 50? (1) 0 (2) 1 (3) 5 (4) Undefined
Which of the following is equivalent to (x5y2)/(x2y)? (1) x3y (2) x7y (3) x3y2 (4) x2y3
Which of the following is the correct simplification of (a3b2)0? (1) 0 (2) 1 (3) a3b2 (4) Undefined
Fill in the blank: 34 × 32 = 3____
Fill in the blank: The scientific notation for 0.00056 is ____ × 10−4.
Fill in the blank: The value of (−1)5 is _____.
Fill in the blank: The value of 10−2 is _____.
True or False: (am)n = am+n for all integers m and n.
True or False: (ab)n = anbn for all real numbers a, b and integer n.
True or False: 2n is always even for all positive integers n.
True or False: For any nonzero number a, a-n = 1/an.
