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3 years ago

If (-3)^-5 =1/x, what is the value of x?

1 answer:

7 0

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
%(-3)^-5 =1/x,
(-3)^{-5}=\cfrac{1}{x}\implies \cfrac{1}{(-3)^5}=\cfrac{1}{x}\implies 1\cdot x=(-3)^5\cdot 1\implies x=(-3)^5
\\\\\\
x=(-3)(-3)(-3)(-3)(-3)\implies x=-243$

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I WILL GIVE BRAINLIEST AND THANKS SOLVE THE EQUATION

lord [1]

Answer:

x = -5.83, -0.17

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

Since we are given a = 1, b = 6, and c = 1 from our quadratic, we use the Quadratic Formula:

Step 1: Plug in variables

$x=\frac{-6+/-\sqrt{6^2-4(1)(1)} }{2(1)}$

Step 2: Solve

$x=\frac{-6+/-\sqrt{36-4} }{2}$

$x=\frac{-6+/-\sqrt{32} }{2}$

Step 3: Evaluate to decimals

When you do so, you should get x = -5.82843 and -0.171573

3 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-10, 8) and

vlada-n [284]

Answer:

$slope=3$

Step-by-step explanation:

Use the following equation the find the slope:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

$(-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}$

Solve:

$\frac{-7-8}{-15+10}=\frac{-15}{-5}$

Simplify. Two negatives make a positive:

$\frac{-15}{-5}=\frac{15}{5}$

Simplify fraction by dividing top and bottom by 5:

$\frac{15}{5}=\frac{3}{1} =3$

The slope is 3.

:Done

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3 years ago

Help dued in 10 mintues

melamori03 [73]

You can find the improper fractions of both.
14 1/2=29/2
1 3/5=8/5
Divide the two numbers
(29/2)/(8/5) and you will get 145/16 or 9.0625.
Therefore, you can fit 9 books on the bookshelf.

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4 years ago

WHAT IS THE DOMAIN OF (F+G) (X) ?

trapecia [35]

Are the x values of the given function of (F+G)(X)./

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4 years ago

Steve will roll a number cube, numbered 1-6, twice. What is the probability

Leni [432]

Answer:

25%

Step-by-step explanation:

First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.

The probability of each number is 1/6, so:

P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2

Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.

As we have again 3 numbers, the probability P2 will also be 1/2

Then, the final probability is the product of both P1 and P2:

P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%

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4 years ago