2 years ago

Simplify the following equation (2^3)^-2

Mathematics

1 answer:

koban [17]2 years ago

6 0

Multiply the exponents
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64

You might be interested in

How do you write 5.3 * 104 in standard form?

mixer [17]

Multiply 5.3 by 104.

Answer: 551.2

3 0

2 years ago

What two numbers add to 9 and multiply to -70

Alborosie

X, y - the numbers

The numbers add to 9 and multiply to -70.
$x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)$

The numbers are -5 and 14.

4 0

2 years ago

What is an equation of the line that passes through the points (-1, 6) and<br> (-1, -5)?

lawyer [7]

Answer:

x = -1

Step-by-step explanation:

Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.

So the equation of the line is x = -1.

5 0

2 years ago

Polygon HJKL has vertices H(-3, 4), J(2, 6), K(2, 1), and L(-3, -1). What are the slopes of sides HJ, JK, KL, and LH and how wou