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2 years ago

8

What is the expresion for (-1/2)(-1/2)(-1/2) as an exponent

1 answer:

stellarik [79]2 years ago

7 0

Answer:

-1/2 to the third power

Step-by-step explanation:

first you look and see -1/2 times -1/2 times -1/2 which is the same as -1/2 to the third power.

then if you have -1/2 to the 3rd power you just simply take -1/2*-1/2*-1/2 which is the same as the expression

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I know you want to answer this question.

Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

$\frac{1}{2} ^{x-4}$ - 3 = $4^{x-3}$ - 2

First, convert $4^{x-3}$ to base 2:

$4^{x-3}$ = $(2^{2})^{x-3}$

$\frac{1}{2} ^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Next, convert $\frac{1}{2} ^{x-4}$ to base 2:

$\frac{1}{2} ^{x-4}$ = $(2^{-1})^{x-4}$

$(2^{-1})^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

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

$(2^{-1})^{x-4}$ = $2^{-1*(x-4)}$

$2^{-1*(x-4)}$ - 3 = $(2^{2})^{x-3}$ - 2

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

$(2^{2})^{x-3}$ = $2^{2(x-3)}$

$2^{-1*(x-4)}$ - 3 = $2^{2(x-3)}$ - 2

Apply exponent rule: $a^{b+c}$ = $a^{b}$ $a^{c}$ :

$2^{-1(x-4)}$ = $2^{-1x}$ * $2^{4}$ , $2^{2(x-3)}$ = $2^{2x}$ * $2^{-6}$

$2^{-1 * x}$ * $2^{4}$ - 3 = $2^{2x}$ * $2^{-6}$ - 2

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

$2^{-1x}$ = $(2^{x})^{-1}$ , $2^{2x}$ = $(2^{x})^{2}$

$(2^{x})^{-1}$ * $2^{4}$ - 3 = $(2^{x})^{2}$ * $2^{-6}$ - 2

Rewrite the equation with $2^{x} = u$ :

$(u)^{-1}$ * $2^{4}$ - 3 = $(u)^{2}$ * $2^{-6}$ - 2

Solve $u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2:

$u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2

Refine:

$\frac{16}{u}$ - 3 = $\frac{1}{64}$ $u^{2}$ - 2

Add 3 to both sides:

$\frac{16}{u}$ - 3 + 3 = $\frac{1}{64}$ $u^{2}$ - 2 + 3

Simplify:

$\frac{16}{u}$ = $\frac{1}{64}$ $u^{2}$ + 1

Multiply by the Least Common Multiplier (64u):

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify:

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify $\frac{16}{u}$ * 64u:

1024

Simplify $\frac{1}{64}$ $u^{2}$ * 64u:

$u^{3}$

Substitute:

1024 = $u^{3}$ + 64u

Solve for u:

u = 8

Substitute back u = $2^{x}$ :

8 = $2^{x}$

Solve for x:

x = 3

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2 years ago

E = ( m V2)/2 rewrite this equation to solve for v<br><br><br><br> HELPP!!!!!

Vaselesa [24]

Answer: V 3

Step-by-step explanation:

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2 years ago

Solve for b .<br> Simplify your answer as much as possible.<br> 40=25b

Anit [1.1K]

8/5
I divided from both sides and flip the equation

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2 years ago

Given the list of x's and y's what is the constant of proportionality. X- 5, 6, 7, 8, 9 Y- 30, 36, 42, 48, 54

Snezhnost [94]

Answer:

Constant of proportionality(X:Y) = 1:6

Step-by-step explanation:

Given:

X- 5, 6, 7, 8, 9

Y- 30, 36, 42, 48, 54

Find:

Constant of proportionality

Computation:

X/Y = 5/30 = 6/36 = 7/42 = 8/48 = 9/54

X/Y = 1/6 = 1/6 = 1/6 = 1/6 = 1/6

So;

Constant of proportionality(X:Y) = 1:6

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2 years ago

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Alex Ar [27]

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