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 12
Explain the difference between a negative exponent and a positive exponent.
If 10x = 0.01, what is the value of x?
If 2x = 32, what is the value of x?
If 3x = 81, what is the value of x?
If 5x = 1/125, what is the value of x?
If a2 = 16, what are the possible values of a?
If a3 × ak = a8, what is the value of k?
If am = an, what can you conclude about m and n (assuming a ≠ 0, a ≠ 1)?
Which of the following is equal to (x2y)3 × (xy2)2?
(1) x7y7
(2) x8y7
(3) x7y8
(4) x8y8
Which of the following is equal to x5 × x3?
(1) x8
(2) x15
(3) x2
(4) x1
Which of the following is equivalent to (x2y3)0?
(1) 0
(2) 1
(3) x2y3
(4) y3
Which of the following is the correct value of (1/2)-3?
(1) 1/8
(2) 8
(3) -8
(4) 2/3
Fill in the blank: (2x3y2)0 = ____
Fill in the blank: (x3y2)4 = x____y____
Fill in the blank: (x4)3 = x____
Fill in the blank: (x5y2) ÷ (x2y) = x____y____
True or False: (a/b)n = an/bn for any nonzero b.
True or False: (ab)n = an + bn
True or False: a0 = 1 for any nonzero value of a.
True or False: For any nonzero a, am × a-m = 1.
