All categories

3 years ago

If the base is 4, what is the value if the exponent is 2? What if the exponent is -2?

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

Answer:

In the world of exponents, 4 is the number being raised by the exponent, which is 2.

Let's answer the first question:

If the base is 4, what is the value if the exponent is 2?

The base is 4 and the exponent is 2. We would multiply 4 two times.

$4^2= 4*4 = 16$

So, it would be 16.

Let's answer the second question:

What if the exponent is -2?

<u>This is the rule for negative exponents:</u>

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

Using this rule, we can solve $4^{-2}$ .

$4^{-2}= \frac{1}{4^2}=\frac{1}{16}$

So, our answer for the 2nd question is 1/16.

You might be interested in

A mother explains to her child that the price on the sign is not the total price for an oil painting, because the price does not

dlinn [17]

Answer:

Or u cld simply just say 945 - 875 = 70

3 0

2 years ago

Help please I'm marking brainiest

Mademuasel [1]

Answer and explanation:

1. 9:12 or $\frac{9}{12}$ or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or $\frac{8}{16}$ or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or $\frac{9}{10}$ or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or $\frac{10}{12}$ or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or $\frac{12}{9}$ or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. $\frac{8}{6}$ or $\frac{40}{30}$ or $\frac{16}{12}$

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. $\frac{6}{7}$ or $\frac{42}{49}$ or $\frac{60}{70}$

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. $\frac{2}{3}$ or $\frac{4}{6}$ or $\frac{20}{30}$

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

8 0

2 years ago

-1/2 w -3/5= 1/5w<br><br> W=

Vinil7 [7]

The exact form is: w = -6/7

8 0

3 years ago

5/ 10 of the students in Sam’s class are girls. Of the girls, 1 /5of them wear glasses. What fraction of all the students wear g

Vesnalui [34]

1/10 because one girl out of ten students wears glasses

8 0

2 years ago

Read 2 more answers

Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.

Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

= 2×16

= 32

11). By applying Pythagoras Theorem in ΔGFB,

GB² = GF² + FB²

(21)² = GF² + (19)²

441 = GF² + 361

GF² = 441 - 361

GF = $\sqrt{80}$

GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

GB² = DG² + BD²

(21)² = (DG)² + (16)² [BD = DC = 16]

DG² = 441 - 256

DG = √185

DG = 13.6

7 0

3 years ago