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Umnica [9.8K]
3 years ago
9

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

Mathematics
1 answer:
Flauer [41]3 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.

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in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi
hammer [34]
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3 0
4 years ago
Write the equation of the line with a slope of 24 and a y-intercept of -5​
zmey [24]

Answer:

y=24x-5

Step-by-step explanation:

General slope intercept form equation of straight line is given as

y=mx+b

where m is slope and b is y-intercept

here m=24 and b=-5

Therefore

y=mx+b=24x-5

8 0
3 years ago
If figure 1 has 4 tiles, fig 2 has 10, and fig 3 has 16... What is my rule?
Sever21 [200]

Answer:

Add 6 each time.

Step-by-step explanation:

Figure 1 has 4 tiles.

To go from figure 1 (4 tiles) to figure 2 (10 tiles), you added 6 tiles.

To go from figure 2 (10 tiles) to figure 3 (16 tiles), you added 6 tiles.

∴ the rule is to add 6 tiles each time.

7 0
3 years ago
What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
balu736 [363]

Answer: The center is (-7, 4) and the radius is 7.

Step-by-step explanation:

The equation for a circle usually is:

(x - a)^2 + (y - b)^2 = R^2

where R is the radius, and (a, b) is the center of the circle.

I guess that the equation in this case is:

(x + 7)^2 + (y - 4)^2 = 49

then, in this case we have:

a = -7 and b = 4, then (a, b) = (-7, 4)

this means that the center of our circle is in the point (-7, 4)

and we know that:

R^2 = 49

R = √49 = 7

Then the radius is equal to 7.

3 0
3 years ago
Use x=3 to identify the value of each expression.
Galina-37 [17]

Exponents if those are the answer it bc the second number is an exponent

3^3= 27

4^3=64

3^4=81

3 0
3 years ago
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