math

1.
Simplify.

14 ^ -4

A. 1 / 14 ^ 4
B. -56 ** ?
C. 1 / 14
D. 1 / 14 ^ -4

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2.
Multiply, write in scientific notation.

(9 x 10^4)(8 x 10^6)

A. 7.2 x 10^25
B. 1.7 x 10^11
C. 7.2 x 10^11 ** ?
D. 1.7 x 10^25

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3.
Write expression using single exponent.

6^a x 6^v

A. 6^a+v
B. 6^av
C. 36^av** ??
D. 36^a+v

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4.
Write expression using single exponent.

7^5 x 7^6

A. 49^30 **?
B. 7^30
C. 49^11
D. 7^11

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  1. 14^-4 = 1/14^4
    think about it. 14^0 = 1
    1/14^4 = 14^0/14^4 = 14^(0-4) = 14^-4
    on the other hand, 14*(-4) = -56

    #2 ok

    #3 6^a x 6^v = 6^(a+v)
    review the rules of exponents

    #4 same as #3
    7^5 x 7^6 = 7^(5+6) = 7^11
    49^30 = 49^(5*6) = (49^5)^6

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    oobleck
  2. Thank you!!

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