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Meaning of Exponents
Negative Bases
Multiply and Divide
Power to Power
Integer Exponents
100
3 x 3 x 3 x 3
What is 34
100
(-2)2
What is 4
100
32 * 34
What is 36
100
(x2)3
What is x6
100
x0
What is 1
200
Is there a difference between -32 and (-3)2? Answer and explain
Yes, -32 equals -9 while (-3)2 equals 9
200
Is (-3)2 is greater than -32? EXPLAIN why.
Yes, (-3)2 is greater than -32 because (-3)2 equals 9 while -32 equals -9
200
3x2*4x3
What is 12x5
200
(4x2)3
What is 64x6
200
(2xy3)0
What is 1
300
Find a value for x if -1x equals a positive number.
There is no value for that would make -1x equal a positive number.
300
Can 25 be written as both (-5)2 AND 52
Yes, both (-5)2 AND 52 will equal 25.
300
312⁄32
What is 310
300
(xm)n
What is xmn
300
x-1
What is 1⁄x
400
-32 * (-1)2
What is -9*1 or -9
400
-62 + (-6)2 equals ____.
What is zero (0)
400
3x12⁄3x2
What is x10
400
(xm)m
What is xm2
400
9x-2⁄3x2
What is 3⁄x4
500
Can -3 be used as a base to write 27? If yes, explain and name the exponent. If no, explain why there is no exponent that works.
No, -3 cannot be used to write 27 because (-3)3 would equal -27 since a negative base to an odd power would remain negative.
500
Is this statement correct? (-1)x ALWAYS equals 1 regardless of what x equals.
No, the statement is not correct since (-1)x would equal -1 if x was an odd number and (-1)x would equal 1 if x was an even number
500
Explain why 32 * 64 = 211
32 * 64 = 211 because if 32= 25 and 64 =26 then 25* 26 = 211
500
(x10y5)2
What is x20y10
500
(3x)-2⁄3x2
What is 1⁄27x4