All categories

3 years ago

Find the two integers, m and n, make the equation (2x^ny2)m = 4x6y4 true.

Mathematics

1 answer:

musickatia [10]3 years ago

3 0

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

You might be interested in

Find the product. -8x5y2 · 6x2y

katrin [286]

Answer:

The product of the given expression $-8x^5y^2\times 6x^ 2y$ = 72x^6y^3[/tex]

Step-by-step explanation:

Given expression is $-8x^5y^2\times 6x^2y$

To find the product of the given expression:

The product of the given expression can be written as

$-8x^5 y^2\times 6x 2y=(-8x^5y^2)(6x^2y)$

$=(-8x^5y^2)(6x^2y)$

$=-48(x^5\times x^2)(y^2\times y^1)$ [since $a^m\times a^n=a^{m+n}$ ]

$=-48x^7y^3$

Therefore the product of the given expression $-8x^5y^2\times 6x^2y$ is $-48x^7y^3$

Therefore, $-8x^5y^2\times 6x^2y$ =-48x^7y^3[/tex]

3 0

2 years ago

Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form

Greeley [361]

$(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})$

Use distributive property to remove the parentheses:

$(a+b)(c+d)=ac+ad+bc+bd$ $\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\ \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\ \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\ \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\ \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}$ Then, the product in the simplest form is: $\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}$

8 0

8 months ago

A number cube has sides labeled 1 to 6. Gia rolls the number cube. What is the probability that she rolls a 4?

Jlenok [28]

It would b C because there are 6 sides and out of the 6, you want one number, which is 4, so that’s why it would be C

3 0

2 years ago

Read 2 more answers

A cell phone and phone case cost $110 in total. The cell phone costs $100 more

Olegator [25]

Answer:

Step-by-step explanation:

p + c = 110

p = c + 100

c + 100 + c = 110

2c + 100 = 110

2c = 110 - 100

2c = 10

c = 10/2

c = 5 .......cost of the phone case

p = c + 100

p = 5 + 100

p = 105 <=== cost of the phone

3 0

3 years ago

CAN SOMEONE PLEASE SOLVE AND EXPLAIN THIS FREAKING QUESTION????????????????????????????????????/PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE

mr Goodwill [35]

Answer:

Step-by-step explanation:

sinx=(opposite side)/(hypotenuse)

There really is no ‘explanation’ as that ratio IS the definition of sin.

7 0

2 years ago

Read 2 more answers