Ask question

Ask question

All categories

4 years ago

10

How to simplify using the laws of exponents

1 answer:

leva [86]4 years ago

5 0

Here are the laws of exponents:

$(a^b)^c = a^{bc}$

$(a^b) (a^c) = a^{b+c}$

$\frac{a^b}{a^c} = a^{b-c}$

Hope that helps :)

You might be interested in

Solve for x , if x + 47 = -23 .<br><br> x =

love history [14]

Answer:

-70

Step-by-step explanation:

subtract 47 from both sides to get

x = -23 - 47

6 0

3 years ago

Read 2 more answers

Simplify 4x^6/2x^4 step by step <br><br> please<br><br> thanks

mrs_skeptik [129]

Ok so you have 4, x^6 / 2, x^4. Now divide the coefficient so 4/2=2. So 2 x^6/x^4, now subtract the numerator by the denominator so x^6-x^4=x^2 so now you have 2x^2

Answer: 2x^2

5 0

3 years ago

What are the values of m and n in the matrix addition below?

Aleksandr [31]

ANSWER

The correct answer is $m=45,n=12$ .

<u>EXPLANATION</u>

We were given the matrix equation;

$\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

We must first simplify the Left Hand Side of the equation by adding corresponding entries.

$\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

That is;

$\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right]$ .

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.

This implies that;

$n-2=10$

We got this equation from row one-column one entry of both matrices.

$n=12$

Also, the row three-column three entries of both matrices will give us the equation;

$m-5=40$

$m=45$

Hence the correct answer is $m=45,n=12$ .

The correct option is option 2

6 0

3 years ago

a dollar bill has length of 150 mm and a width of 50 mm . complete the number sentences below to show two ways to find the perim

marysya [2.9K]

<u><em>Hey There!</em></u>
<u><em>Perimeter=L+W×2</em></u>
<u><em>Perimeter=150+50×2</em></u>
<u><em>Perimeter=200×2</em></u>
<u><em>Perimeter=400</em></u>

8 0

4 years ago

12ft 6ft 6ft 6ft what is the area of this face

Ainat [17]

Answer:

2,592ft

Step-by-step explanation:

The answer is 2,592ft because I multiplied 12ftX6ftX 6ftX6ft=2,952ft .

7 0

3 years ago