Vocab
What is an INTEGER?
A whole number. Can be positive, negative, or zero.
What is the index in the expression below:
4√(256a)
4
Simplify:
62/61
6
Evaluate p-3 for p = 4
1/64
One cup is 2-4 gallons.
Simplify this expression.
1/16 gal
What does an EXPONENT represent?
The number of times a number (or term) is multiplied by itself.
Rewrite the expression in radical form:
(3w)1/3
3√3w
Simplify:
d5/d9
1/d4
Evaluate 8a-2b0 for a = -2 and b = 6
2
The diameter for the Model A Ford piston could vary by at most 10-3 inch.
Simplify this expression.
1/1000 inch
or
0.001 inch
What is a BASE?
The number (or term) that is being effected by the exponent.
Rewrite the expression in exponent form:
(7√k)4
k4/7
Simplify:
(f6)0(g3)2
g6
Evaluate 4m2/m-3 for m = 10
400,000
One of the smallest bats is the northern blossom bat, which is found from Southeast Asia to Australia.
This bat weighs about 2-1 ounce. Simplify this expression.
1/2 oz
What is this symbol called?
√
(don't say "square root")
RADICAL symbol
Rewrite the expression in radical form:
(78b)3/4
4√(78b)3
or
(4√78b)3
Simplify:
(x8y6)/(x4y16)
x4/y10
Evaluate (25c2)1/2 for c = 4
20
Given a square with area a, you can use the formula P = 4a1/2 to find the perimeter P of the square.
Find the perimeter of a square that has an area of 64 m2.
32 m
What is an INDEX?
And what does it indicate?
The number to the left side of the radical symbol, which indicates what root to take.
Rewrite the expression in exponent form:
√x/5√x
x3
Simplify:
(4b6c-8)/(2b2c2)
(2b4)/c10
Evaluate (27b)-3 for b = 8
6
Biologists use a formula to estimate the mass of animal's brain.
For a mammal with a mass of m grams, the approximate mass B of the brain, also in grams, is given by B = 1/8m1/3.
Find the approximate mass of the brain of a mouse that has a mass of 64 grams.
2g