All categories

2 years ago

Simplify (step by step too)

Mathematics

1 answer:

koban [17]2 years ago

6 0

The simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

<h3>What is the simplified form of the expression?</h3>

Given the expression in the question;

√( 45 x⁸ w⁷ )

First, factor out 9 from 45

√( 9(5) x⁸ w⁷ )

√( 3²(5) x⁸ w⁷ )

Rewrite x⁸ as (x⁴)²

√( 3²(5) (x⁴)² w⁷ )

Rewrite w⁷ as ( w⁶ × w )

√( 3²(5) (x⁴)² ( w⁶ × w ) )

Rewrite w⁶ as (3³)²

√( 3²(5) (x⁴)² (w³)² × w )

We can now take the square roots of all the terms with a power of 2 and take them out of the square root

(3)(x⁴)(w³)√(5w)

3x⁴w³√(5w)

Therefore, the simplified form of the expression √( 45 x⁸ w⁷ ) is 3x⁴w³√(5w).

Learn more about exponent rule here: brainly.com/question/15993626

#SPJ1

You might be interested in

Please help ....this is due tomorrow

marshall27 [118]

A) 0.15 times $2,570 = $412.50

B) $122.85 times 2( 12 ) = $2,948.40

C) $2,570

D) All together it's $2,948.40 + $2,570 = $5,518.40

For D I didn't add the down payment because it's not an additional charge.

I only did the first one because I don't know if you want me to finish the rest.

Hope I helped :)

5 0

3 years ago

Alexis put $2000 in a savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn? Use the

natta225 [31]

Alrighty

P=2000
A=2543
t=4

$A=Pe^{rt}$
$2543=2000e^{4r}$
solve

$2543=2000e^{4r}$

divide both sides by 2000

$\frac{2543}{2000}=e^{4r}$

take ln of both sides

$ln(\frac{2543}{2000})=ln(e^{4r})$

$ln(\frac{2543}{2000})=(4r)ln(e)$

$ln(\frac{2543}{2000})=(4r)(1)$

$ln(\frac{2543}{2000})=4r$

divide both sides by 4

$\frac{ln(\frac{2543}{2000})}{4}=r$

use your calculator

0.060049=r
convert to percent
that is about 6%

the interest rate is 6%

3 0

4 years ago

Read 2 more answers

19. Which is the suitable identity used to evaluate 9992 ?

andrew11 [14]

Answer:

I suppose you mean 999^2

(1000-1)^2

which comes under the identity

(a-b)^2=

(a^2 + b^2 - 2ab)

hope this helps

5 0

3 years ago

What percent of the number of cats is the number of cats if there 15 dogs and 12 cats?

defon

Answer: can explain that a little better please

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Adition and subtraction of functions

erik [133]

Answer:

(f + g)(x) = x² - x + 6

Step-by-step explanation:

Step 1: Define

f(x) = x² + 1

g(x) = 5 - x

Step 2: Find (f + g)(x)

(f + g)(x) = x² + 1 + 5 - x

(f + g)(x) = x² - x + 6

7 0

3 years ago