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2 years ago

Simplify the expression (6^2)^4

Mathematics

1 answer:

Sedaia [141]2 years ago

7 0

Answer:

6^8 = 1,679,616

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)^c = a^(bc)

Applied to this problem, the rule tells you ...

(6^2)^4 = 6^(2·4) = 6^8 = 1,679,616

Or, you can evaluate the expression according to the Order of Operations:

(6^2)^4 = 36^4 = 1,679,616

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How ro divide a 6meter long board into 1/3

Serhud [2]

Divide 6 by 1/3. I don't know what you are asking.

5 0

2 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

2 years ago

3^sqrt -64w^12<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20-%2064w%5E%7B12%7D%7D%20" id="TexFormula1" title=" \s

Agata [3.3K]

-64=(-4)³, w^12=(w^4)³
the result is -4w^4

7 0

2 years ago

The sum of 4 consecutive even numbers is 36.<br> What is the first number in this sequence?

DiKsa [7]

Answer:

Step-by-step explanation:

6+8+10+12=36

7 0

2 years ago

Read 2 more answers

What is the solution for x in the equation? 16x − 4 + 5x = -67 A.x=-3 B.x=3 C.x=1/3 D. x=-1/3

lozanna [386]

Answer:

A. X=-3

Step-by-step explanation:

16x-4+5x=-67

21x=-67+4

21x=-63

Divide through by 21

X=-3

8 0

2 years ago