| Test 6 : Exponents |
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Note: in the following problems /N means square root of N. I could not typeset radical signs. 1) What is 3-3 ? 1/33 = 1/27 Hint: 2-2 = 1/4 2) Simplify (a7b-2)
/ (b2a8)?
1/ab4 or b-4/a Hint: c2/c3 = 1/c 3) What is 150% of
641/2 ?
1.5 (8) = 12 Hint: x1/2 = square root of x. 4) Simplify
/12 + /75
= 7 /3
Hint:
/20 = 2 /5
5) What is (20 + 30)3 ?
23 = 8
Hint:
x0 =
1 for all x = 0.
6)
Simplify /(8 x2) ? 2
sqrt(2) x
Hint:
take everything that is a perfect square out of the
radical.
7) What is 323/5 ?
8
Hint:
Take the fifth root of 32, then cube it.
8) What is
4/(16a1/3 /
a1/4) ?
= (16a1/3 / a1/4)1/4 = (16a1/12)1/4 = 2a1/48 Hint:
a1/3 /
a1/4 = a(1/3 – 1/4)
9) What is (0.001)-2/3 ?
100
Hint: Take the
cube root of 0.001, then square it.
10) Arrange these from
least to greatest:
22/3 , 23/2, (½)½, (½)2, (½)-2 Answer (½)2, (½)½ , 22/3 , 23/2 , (½)-2 Hint: square
root of 2 = 1.414…
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