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Math Help Please ASAP?

0 votes
Rewrite the following expressions as a power with a single base, then
evaluate.
a) (–10)^3× (–10)^2
b) ( 2 )^5( 2 )( 2 )^2
c) 3^15/3^11
d)( -2)^10/(-2)3
e)[(−1 )^4 ] ^5 )
f)[[1/4]^2]^3
asked May 1, 2013 in ALGEBRA 1 by futai Scholar

6 Answers

0 votes

a)

The given expression as a power with a single base

   (-10)3×(-10)2

Apply the power rule

= (-10)3 + 2

= (-10)5 .

answered May 2, 2013 by diane Scholar
0 votes

b)

The given expression as a power with a single base

(2)5(2)(2)2

 Apply the power rule

= (2)5 +2 + 1

= (2)8 .

 

answered May 2, 2013 by diane Scholar
0 votes

c)

315 / 311

Apply the power rule

= 315 - 11

= 34.

answered May 2, 2013 by diane Scholar
0 votes

d)

(-2)10 / (-2)3

Apply the power rule

= (-2)10 - 3

= (-2)7.

 

 

answered May 2, 2013 by diane Scholar
0 votes

e)

[(-1)4]5

Apply the power rule

(-1)4*5

(-1)20.

answered May 2, 2013 by diane Scholar
0 votes

f)

   [ 1 / 4]2]3

Apply the power rule

= [1 / 4]2*3

= [ 1 / 4]6.

 

answered May 2, 2013 by diane Scholar

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