F.3 Laws of Integral Indices

2010-09-19 8:21 pm
12-0.2^2 000 x 5^2 001 =
A.-5^4 001
B.-5
C.-1
D.-0.2



13If 2^x-1 =1/16 , then the value of x is
A.-4.
B.-3.
C. .-1/4
D.5.



17If 3^m -2 = 5 and 9^n = 10, then the value of 3^m + 2n is
A.55.
B.150.
C.300.
D.450.



19the following expressions must be correct?

3y^4-2y^3 = y

回答 (1)

2010-09-19 8:40 pm
✔ 最佳答案
12)
-0.2^2000 x 5^2001
=-(1/5)^2000 x 5^2001
=-(5^(-1))^2000 x 5^2001
=-(5^(-2000)) x 5^2001
=-(5^(-2000+2001))
=-5

Ans: B

13)
2^(x-1)=1/16
2^(x-1)=1/2^4
2^(x-1)=2^(-4)
x-1=-4
x=-3

Ans: B

17)
3^(m-2) = 5 => 3^m*3^(-2)=5 => 3^m*(1/9)=5 => 3^m=45
9^n=10 =>3^(2n)=10

3^(m+2n)=3^m*3^2n=45*10=450

Ans: D

19)
For instance, take y=2
3*2^4-2*2^3=32=/=2

So, the expression is not always correct.


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