Please help I've been stuck on this question for a while now. How do I solve (1/2)^4 (1/2)^-2? It has to do with Multiplying and Dividing Expressions with Exponents. Please show work so I may figure it out on my own.

Answers

Answer 1
Answer:

The value of the expression is 0.25

Explanation:

The expression is $\left((1)/(2)\right)^(4)\left((1)/(2)\right)^(-2)$

Since, the base of the expression is the same. Then, by "product rule", when multiplying two powers that have the same base, you can add the exponents.

Thus, we have,

$\left((1)/(2)\right)^(4)\left((1)/(2)\right)^(-2)=\left((1)/(2)\right)^(4-2)$

Adding the exponents, we have,

$\left((1)/(2)\right)^(4)\left((1)/(2)\right)^(-2)=\left((1)/(2)\right)^(2)$

Applying exponent rule, $\left((a)/(b)\right)^(c)=(a^(c))/(b^(c))$, we have,

$\left((1)/(2)\right)^(2)=(1^(2))/(2^(2))$

Simplifying, we get,

(1)/(4)

Dividing, we have,

0.25

Thus, the value of the expression is 0.25


Related Questions

Larisa buys 5 hats for $9.99 each. how much does she spend
In a group of 25 students, 16 are female. What percentage of the group is female?
If x is the principle square root of 7, what must be true.
Factories fully the flowing
Melissa sells 4 hats for a total of $68.64 before tax.How many hats does Melissa sell if the total is $154.44 before tax A, 7 B. 8 C. 9 D. 10

Can someone help me with this math homework please!

Answers

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

(2)/(3) - x + (1)/(6) = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

----------------------------------------------------------------------

Adding the 2 fractions on the left side gives

(4)/(6) +(1)/(6) - x = 6x , that is

(5)/(6) - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

(Sorry I’m dumb)The day they got home, the thermometer at Janelle's house read -4°F. What does this temperature mean compared with 0°F?

Answers

Answer:

It is 4 degrees less than 0

Step-by-step explanation:

The - means less so you just subtract

If this is not the correct answer I will be baffled

A driveway is 162 feet long,6 feet wide,and 4 inches deep.How many cubic feet of concrete will be required for the driveway

Answers

It's length times width times height.

162x4x6

The answer is 3888 cubic feet of concrete.

3888 if you are asking for the volume.
(One thing I'm not sure is 162 is the length, correct?)

What is the square root of 16 times 3 times minus 54 times 3??
Need help ASAP!!

Answers

-150
Square root of 16 times 3= 12
12-(54*3)=-150 i hope this helps!
-1944,
The square root of 16 is 4.
4 times 3 is 12.
-54 times 3 is -162.
12 times -162 is -1944.

A person leaves home at 8.00 a.m. and drives to a destination at a rate of 40 mph. The person returns at a rate of 25 mph and arrives at 2:30 p.m. If x represents how far it is to the destination, then which of the following expressions represents the amount of time to make the return trip?25x
6.5-x
x/25

Answers


time = distance / speed

distance= x 
speed = 25 mph

time = x/25

A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. If they randomly decide who will watch the movie, what is the probability that there are at least 3 girls in the group that watch the movie? A. 0. 018 B. 0. 268 C. 0. 536 D. 0. 821.

Answers

Answer:

B. 0.268

Step-by-step explanation:

if there are more than half boys then girls it as t be und .5 since that's half and .018 is to low