Show all work. No decimal answers, except in problem 6.

Question

Simplify:

5^0a^6b^3

(-4)^-1

(2a^4y^3)^3

()-2

Simplify the expression. Write your answer in scientific notation.

(4 x 108)(8.2 x 10-2)

The amount of bacteria in a raw piece of meat doubles every 3 hours. If the meat initially contains 135 ounces of bacteria, how much bacteria will be in the meat after 15 hours?

What is the value of 12a-4b-3 for a = 2 and b = -1?

Is the rule y = 2x3 represent an exponential function? Explain. (2 pts.)

Answer 1

5^0a^6b^3
----------------- anything^0 = 1

(-4)^-1
--------------------------- 1/-4 = -1/4

(2a^4y^3)^3
2^3 =8
so 8 a^12 y^9

()-2
means nothing to me at all

Simplify the expression. Write your answer in scientific notation.

(4 x 108)(8.2 x 10-2)
PROOF READ
I think you mean 4*10^8 * 8.2*10^-2
= 32.8 * 10^6
= 3.28 *10^7
BUT you typed 4 all alone not 4.0 or 4.00
that means ONE significant figure
so 3 * 10^7
answer depends on your typing errors

The amount of bacteria in a raw piece of meat doubles every 3 hours. If the meat initially contains 135 ounces of bacteria, how much bacteria will be in the meat after 15 hours?
==================
doubles five times
135 * 2^5 = 135 * 32

What is the value of 12a-4b-3 for a = 2 and b = -1?
------------ 12(2) -4(-1) -3 = 24 + 4 -3 = 25

Is the rule y = 2x3 represent an exponential function? Explain. (2 pts.)
--------------- NOT the way you TYPED it
if you mean
y = 2 x^3 then it is exponential, x to the exponent 3