Test for monday 11/30/20 Flashcards

1
Q

2^3 x 5^2 x 7

A

1400

= 2^3 × 5^2 × 7
= 2 × 2 × 2 × 5 × 5 × 7
= 1400

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2
Q

3x^2 x 5x^5

A

15x^7

= 3x^2 × 5^5
= 3 x 5 × x^2 × x^5
= 15 × x^(2+5)^
= 15x^7

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3
Q

250 000 in scientific notation

A

2.5 × 10^5

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4
Q

a(b + c) = ?

A

ab + ac

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5
Q

6(x + 9) = ?

A

6x + 54

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6
Q

(a + b)(c + d) = ?

A

ac + ad + bc + bd

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7
Q

(x + 8) (6 - n) = ?

A

6x - xn + 48 - 8n

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8
Q

(a + b) (a - b) = ?

A

a^2 - b^2

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9
Q

(x + 5) (x - 5) = ?

A

x^2 - 25

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10
Q

(a + b)^2 = ?

A

a^2 + 2ab + b^2

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11
Q

(a - b)^2 = ?

A

a^2 - 2ab + b^2

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12
Q

a negative base raised to an odd power is ?

A
a negative
(don't remember its the contrary for the other one)
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13
Q

(a/b)^-2 = ?

A

(b/a)^2

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14
Q

a^m × a^n = ?

A

a^m+n

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15
Q

a^m / a^n = ?

A

a^m-n

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16
Q

(a^m)^n = ?

A

a^mn

17
Q

(ab)^n = ?

A

a^n b^n

18
Q

(a / b)^n = ?

A

a^n / b^n

19
Q

a^0 = ?

a /=/ 0

A

1

20
Q

a^-1 = ?

A

= 1 / a

21
Q

Read answer

A

10^n = decimal right

10^-n = decimal left

22
Q

a^1/n = ?

A

^n√a