All categories

1 year ago

Rewrite each multiplication or division expression using a base and an exponent

Mathematics

1 answer:

brilliants [131]1 year ago

6 0

Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.

<h3>What is the result of the division in exponent form?</h3>

Given the expression; 4⁵ ÷ 4²

To perform the division operation, we use one of the laws of indices;

$n^a/n^b = n^{a-b}$

Given that;

n = 4
a = 5
b = 2

Now, we apply the laws of indices ;

4⁵ ÷ 4² = 4⁵⁻² = 4³

Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.

Learn more about exponents here: brainly.com/question/15993626?

#SPJ1

You might be interested in

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

2 years ago

Which of the following is a reasonable estimate for the weight capacity of an elevator that can carry up to 15 people?

Bas_tet [7]

A is the most common

6 0

2 years ago

Read 2 more answers

25 POINTS PLEASE HELP I BEG YOU!!

Nezavi [6.7K]

Answer:

13 slices, 3/10 inches left.

Step-by-step explanation:

10 divided by 3/4 = 10 divided by .75

10 divided by .75 = 13.3

13 slices, .3 inches (3/10) leftover

3 0

2 years ago

Read 2 more answers

Joe manages a local drug store. His base salary is $300 per week plus 1.8% of the weekly sales at the store. What must the weekl

Montano1993 [528]

Let x be the total weekly sales.

His salary is $300/week + 1.8% (x), if he wants to earn $570, then:

300 + 1.8%(x) = 570
1.8%(x) = 270
0.018 (x) = 270

and x = 270/0.018 = $15,000

5 0

3 years ago

Step 1: Find the slope of AB. The slope of AB is

forsale [732]

Where is the information needed

8 0

2 years ago

Read 2 more answers