Which of these best describes rt?

Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec

charle [14.2K]

Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

2³ × 2⁻⁴ = 2⁽³⁻⁴⁾

2³ × 2⁻⁴ = 2⁻¹

Then find the reciprocal and change the sign of the exponent.

$2^3* 2^{-4} = 2^{-1}\\\\2^3* 2^{-4} = \dfrac{1}{2}\\\\2^3* 2^{-4} = 0.5$

The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0

1 year ago

Please help & solve for x thank you!

vovikov84 [41]

9514 1404 393

Answer:

x = 23.1

Step-by-step explanation:

The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...

x/14 = 33/20

Multiplying by 14, we get ...

x = 14(33/20) = 7(33/10) = 23.1

4 0

2 years ago

For the given triangles select the lengths of the sides.

aivan3 [116]

Answer:

v=3

u=6

x=2√2

y=2√2

Step-by-step explanation:

First triangle :

tanΦ=v/3√3

tan30=v/3√3

(√3)/3=v/(3√3)

Cross multiply

(√3)/3 x 3√3=v

(√3 x 3√3)/3=v

(3√9)/3=v

(3x3)/3=v

9/3=v

3=v

v=3

Sin30=v/u

0.5=3/u

Cross multiply

0.5xu=3

0.5u=3

Divide both sides by 0.5

0.5u/0.5=3/0.5

u=6

Second triangle :

sin45=x/4

Cross multiply

x=4 x sin45

x=4 x (√2)/2

x=2√2

Cos45=y/4

Cross multiply

4 x Cos45=y

4 x (√2)/2=y

(4√2)/2=y

2√2=y

y=2√2

5 0

2 years ago

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid

MA_775_DIABLO [31]

Answer:

She will be paid $1,350

Step-by-step explanation:

Let the flat rate be $x and the fixed percentage be y% = y/100

Thus, her payment per month will be

x + (y% of monthly amount) = Payment

For the 1st month, her pay calculations will look like this;

x + y/100 *(16,000) = 1,600

x + 160y = 1600 •••••••••(i)

For the month before the last, her calculations would be;

x + y/100(12,000) = 1,400

x + 120y = 1,400 ••••••••(ii)

It is these two equations that we now solve simultaneously.

We can directly get this by subtracting equation ii from i

That would be;

(x-x) + (160y-120y) = (1600-1400)

40y = 200

y = 200/40

y = 5%

To get x, we can substitute in any of the equations

Let us use equation ii

x + 120(5) = 1,400

x + 600 = 1,400

x = 1,400-600

x = $800

Thus, for $11,000 , the equation will be as follows;

x + (y% of amount) = payment

= $800 + (5/100 * 11,000) = $800 + $550 = $1,350

4 0

3 years ago

Read 2 more answers

Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Dmitrij [34]

Let t be the required number of years.
34 + t = 3(6 + t)
34 + t = 18 + 3t
2t = 16
t = 8
The answer is 8 years.

7 0

3 years ago

Read 2 more answers