All categories

3 years ago

Use the properties of exponents to simplify the expression: 25 3/2

Mathematics

1 answer:

HACTEHA [7]3 years ago

8 0

<h2><em>For any Real numbers a , b , c with a > 0 we find:</em></h2><h2><em>a ^b c = ( a ^b )^ c</em></h2><h2><em>In our example, </em></h2><h2><em>25 = 5 ^2 , so we find:</em></h2><h2><em>=25 ^3/ 2 </em></h2><h2><em>= ( 5^ 2 ) 3/ 2 </em></h2><h2><em>= 5 ^2 ⋅ 3 /2</em></h2><h2><em> = 5^ 3 </em></h2><h2><em>= 125</em></h2>

You might be interested in

Answer the questions below about the quadratic function.

Korolek [52]

Given the function $f(x)=3x^2-18x+23$ . The above function can be written as

$f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4$

a)Now, the function $f(x)=3(x-3)^2-4$ has minimum value since the coefficient of $(x-3)^2$ is $3>0$ .

b) The minimum value of the function occurs at $x=3$ and its value is

$f(3)=3(3-3)^2-4 =-4$

c)The minimum value of the function occurs at $x=3$ .

6 0

3 years ago

Help meee will give brainly! Find the domain of the function f(x)=5x−9 .<br> DONT SAY I DONT KNOW

Agata [3.3K]

Answer and Step-by-step explanation:

$\frac{5}{x-9}$

The domain is all real numbers <u>except</u> 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is <u>not</u> included.

#teamtrees #WAP (Water And Plant)

7 0

3 years ago

Convert repeating decimal 9.81 to a fraction

vampirchik [111]

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

6 0

3 years ago

store a has a promotion. if you buy three shirts, you get 25% off the total price of the three shirts. store b has the same shir

PilotLPTM [1.2K]

<span> let x = price of 1 shirt before sale
A => 3x * 0.75 = 2.25x
B => 2x + x/2 = 2.5x
C => 3x* 0.90 = 2.7x
2.25x < 2,5x < 2.7x
</span>

8 0

3 years ago

Solve 2p = 18<br><br> Help!!!!!!

vitfil [10]

Answer:

Step-by-step explanation:

2p= 18

p = 18 ÷ 2

p = 9 hope it helps u

4 0

3 years ago

Read 2 more answers