Would appreciate if someone would help:) thanks!

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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4 0

2 years ago

Read 2 more answers

100 Points. Easy question. Why would you never see a label with a percentage over 100%

Tasya [4]

Answer:

100% means like everything, the total

Step-by-step explanation:

percent is like "out of a hundred"

so 100/100

is everything

The total

6 0

3 years ago

Read 2 more answers

Find the two Z-scores that separate the middle 73.72% on the Standard Normal Curve.

leonid [27]

Answer:

+1.12 and -1.12

Step-by-step explanation:

Let the two z scores be $-z_1and+z_1$ .

Since the two Z-scores that separate the middle 73.72% on the Standard Normal Curve, this can be represented by the equation:

$P(-z_1$

From the z table of the normal distribution, z₁ = 1.12. That is a z score of 1.12 gives 0.8686.

The two z scores are +1.12 and -1.12 = ± 1.12

4 0

3 years ago

Can you help with this to?

love history [14]

Answer:

total change in time when you used 5 clues is 10.

Step-by-step explanation:

if you have 3 free clues, then 5-3 =2

That means you used 2 additional clues. 2 clues means 5*2 min reduced which is 10 mins reduced. The total time you have is x and the total time left is x-10 after you used the two clues.

Does this help?

6 0

3 years ago

Read 2 more answers

Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the equation:h(t)=-1.5t^

EastWind [94]

Answer:

14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

The vertex is calculated by vertex formula:

x = -b/2a for the equation y = ax² + bx + c

In our case t is the vertex and its value is:

t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0

3 years ago