All categories

3 years ago

Write (-32)^-2 as an expression without a negative exponent please

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Step-by-step explanation:

Hey there!

(-32)^-2 Into positive exponents.

We generally law of negative index.

Example;

${x}^{ - y} = \frac{1}{ {x}^{y} }$

So, let's make it same as this:

${ - 32}^{ - 2} = \frac{1}{ { - 32}^{ 2} }$

Hope it helps....

You might be interested in

URGENT

Zepler [3.9K]

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

How to work the problem 2u²=3u+2

vlabodo [156]

U= -1/2, 2

Hope it helps

6 0

3 years ago

Read 2 more answers

Hurry please...

Eva8 [605]

Answer:

initial value=2

rate of change=1

Step-by-step explanation:

rate of change=(3-2)/(1-0)=1

7 0

3 years ago

Ana drinks chocolate milk out of glasses that each hold 1/8 of a liter

maxonik [38]

Answer:

5 3/5

Step-by-step explanation:

Convert 1/8 to 10/80 and 7/10 to 56/80 56/10= 5 3/5

7 0

3 years ago