All categories

3 years ago

Simplify the imaginary number using the properties of exponents. ¡102

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

3 0

Answer: Explanation: 102=2⋅51. i102=(i2)51=(−1)51=−1.

Step-by-step explanation:

You might be interested in

PLEASE HELP WILL GIVE BRAINLIEST

Ghella [55]

Answer:

Answer attached

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help, solve for x and n

Vlada [557]

Answer:

1. $\boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}$

2. $\boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}$

Step-by-step explanation:

1. $\sf{ \frac{6}{x + 1} = \frac{3}{x} }$

Do cross multiplication

$\dashrightarrow{ \sf{6x = 3(x + 1)}}$

Distribute 3 through the parentheses

$\dashrightarrow{ \sf{6x = 3x + 3}}$

Move 3x to left hand side and change it's sign

$\dashrightarrow{ \sf{6x - 3x = 3}}$

Collect like terms

$\dashrightarrow{ \sf{3x = 3}}$

Divide both sides by 3

$\dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}$

Calculate

$\dashrightarrow{ \sf{x = 1}}$

The value of x is 1

---------------------------------------------------------------------

2. $\sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}}$

Do cross multiplication

$\dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}$

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

$\dashrightarrow{ \sf{2n - 2 = 12n + 48}}$

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

$\dashrightarrow{ \sf{2n - 12n = 48 + 2}}$

Collect like terms

$\dashrightarrow{ \sf{ - 10n = 48 + 2}}$

Add the numbers : 48 and 2

$\dashrightarrow{ \sf{ - 10n = 50}}$

Divide both sides by -10

$\dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}$

Calculate

$\dashrightarrow{ \sf{n = - 5}}$

The value of n is -5 .

Hope I helped!

Best regards! :D

7 0

3 years ago

The ratio table below shows the number of miles Shondra drove in a car for certain amounts of time during a road trip. Driving D

MrRa [10]

Answer:

Step-by-step explanation:

u take 2(64)-600-94 then u get 120

5 0

3 years ago

Read 2 more answers

What is the answer to this be<br> -1 ≤ x ≤ 1<br> -1 ≤ x ≥ 1

padilas [110]

Answer:

Step-by-step explanation:

1-x²≥0

1≥x²

or x²≤ 1

-1≤x≤1

[if x²≤a,then -a ≤x≤a]

5 0

3 years ago

Read 2 more answers

a triangle has an area of 110 square inches and a base of 15 in. Which answer best pinpoint the height

dsp73

Answer:

14.67

Step-by-step explanation:

area = 1/2bh therefor plug in the numbers and you get the anwser.

3 0

3 years ago