All categories

2 years ago

Choose the correct simplification of the expression (-9a^3b^2c^10)^0

Mathematics

1 answer:

Flauer [41]2 years ago

8 0

Option C: 1 is the simplification of the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

Explanation:

The given expression is $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$

We need to simplify the given expression.

<u>Simplification:</u>

To simplify the given expression, let us apply the exponent rule, $a^{0}=1$ where $a \neq 0$

Thus, the the exponent rule $a^{0}=1$ means that any value (except zero) to the power of zero is equal to one.

Thus, the expression $\left(-9 a^{3} b^{2} c^{10}\right)^{0}$ becomes,

$\left(-9 a^{3} b^{2} c^{10}\right)^{0}=1$

Therefore, the simplified expression is 1

Hence, Option C is the correct answer.

You might be interested in

Which property justifies the following statement?<br> If x = 2, and y = 3x - 11, then y = 3.2 - 11.

irina [24]

Answer:

Transitive property

But it looks like substitution.

Step-by-step explanation:

3 0

2 years ago

What are the values of a and b? Select one: a. a equals 18 comma space b equals 4 square root of 5 b. a equals 64 comma space b

OleMash [197]

Answer:

a is a value of 5 and b is is equal to 9

Step-by-step explanation:

all you have to do is get 16 and 4 by them self and take them out, and find the remaining numbers

3 0

3 years ago

Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ×3 2 1

Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0

2 years ago

A teacher conducted an experiment to see if she was more likely to call on boys or girls in class. one day she recorded the numb

sashaice [31]

C i hope it’s right:)

6 0

2 years ago

(-2,3)(0,8) what is en equation for these points

jenyasd209 [6]

Answer:

The line equation that passes through the given points is 5x – 2y + 16 = 0

Explanation:

Given:

Two points are A(-2, 3) and B(0, 8).

To find:

The line equation that passes through the given two points.

Solution:

We know that, general equation of a line passing through two points (x1, y1), (x2, y2) is given by

$\frac{(y- y1)}{(x-x_1)}= \frac{((y_2- y_1)}{(x_2- x_1 )}$

${(y- y1)= \frac{((y_2- y_1)}{(x_2- x_1 )}\times(x-x_1)$ .............(1)

here, in our problem x1 = 0, y1 = 8, x2 = -2 and y2 = 3.

Now substitute the values in (1)

$y-8 = \frac{(3-8)}{(- 2 - 0)}\times(x- 0)$

$y-8 = \frac{(- 5)}{(-2)}\times(x)$

$y-8 =\frac{5}{2}x$

2y – 16 = 5x

5x – 2y + 16 = 0

Hence, the line equation that passes through the given points is 5x – 2y + 16 = 0.

4 0

3 years ago