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3 years ago

Help me with this question please....

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

The answer is 2940

Step-by-step explanation:

HAVE A GOOD DAY!

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Can anyone help me!

zhenek [66]

Answer:

$\large \text{$ \sf 2^{-64}$}$

Step-by-step explanation:

Given:

$\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}$

This reads as: 256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

$\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}$

$\large \text{$ \sf \implies -2^{3}$}$

Therefore:

$\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}$

Replace "-4 to the power of 3/2" with -8 :

$\large \text{$ \sf \implies 256^{-8}$}$

Rewrite 256 as 2⁸ :

$\large \text{$ \sf \implies (2^8)^{-8}$}$

$\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies 2^{(8 \times -8)}$}$

$\large \text{$ \sf \implies 2^{-64}$}$

In one complete calculation:

$\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}$

Learn more about exponent rules here:

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brainly.com/question/27959936

4 0

10 months ago

Read 2 more answers

What is the area of the parallelogram? Show your work. (5 points)

stepan [7]

Part A. The formula for finding the area of a parallelogram is A=bh where A is the area, b is the base and h is height.
A=bh where b=8 feet ,h=3/4 foot and A=?
A=8*3/4
A=6 feet The area of the parallelogram is 6 feet square
Part B.You can decompose a parallelogram into two triangles by drawing a diagonal from one end to the another.The formula for finding the area of each triangle is A= 1/2bh where A is area b is base and h is height.Therefore:
A=1/2bh where b=8 h is 3/4 and A=?
A=1/2*8*3/4
A=3 feet square. Therefore the area of each triangle is 3 feet square.

4 0

2 years ago

Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?

belka [17]

Answer:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

5 0

1 year ago

Read 2 more answers

Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho

garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

Alice: $7,600 Ben: $5,900 Carlos: $1,400.

So they have $ 14900 in total.

Now we will divide that money by 40.

$x=\frac{14900}{40}\\\\x=372.5$

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

$A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\$

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

6 0

2 years ago

Heather sees that two stores have similar sales. Store A says that 5 balloons will cost her $6.00 and store B says that 13 ballo

MatroZZZ [7]

Answer:

Store A and it would cost $32.40 (answer choice A)

Step-by-step explanation:

Let's start by studying how much she would pay for a single balloon on each store:

In store A: (5 balloons for $6) then per each balloon: $6/5 = $1.2 per balloon.

In store BA: (13 balloons for $16.25) then per each balloon: $16.25/13 = $1.25 per balloon.

This shows us that the better price is in store A if she wants to pay as little as possible. Now, at that price, if she wants to buy 27 balloons, she will be paying (27 times $1.2): 27 * $1.2 = $32.40

5 0

3 years ago

Help me with this question please....​

Help me with this question please....