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Anastasy [175]
3 years ago
9

Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline E

ndFraction.
Divide the bases and then add the exponents.
Keep the base the same and then add the exponents.
Multiply the bases and then subtract the exponents.
Keep the base the same and then subtract the exponents.
Mathematics
2 answers:
mart [117]3 years ago
8 0

Answer:

d i just took the test

Step-by-step explanation:

Minchanka [31]3 years ago
3 0

Answer:

Keep the base the same and then subtract the exponents.

Step-by-step explanation:

According to one of the law of indices, for given values a, m and n;

a^m/a^n = a^(m-n)

The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.

Now given the expression

3^-6/3^-4

As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:

3^-6/3^-4 = 3^(-6-(-4))

= 3^(-6+4)

= 3^-2

= 1/3^2

= 1/9

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Kitty [74]
You need to know the length of two sides and the degree of one angle.
7 0
3 years ago
The price of gold is often reported per ounce. At the end of 2005, this price was $513. At the end of 2015, it was $1060. By wha
GuDViN [60]

Answer:106.63%.

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7 0
2 years ago
In isosceles triangle ABC, AC=BC=20, the measure of angle A=68, and CD is the altitude to side AB. What is CD to the nearest 10t
antiseptic1488 [7]

Answer:

Step-by-step explanation:

Comment

The way the diagram looks when it is drawn is that you are going to need the sine function to solve for the side opposite which is CD.

Formula

Sin(A) = Sin(68 = opposite / hypotenuse     Substitute values.

Solution

sin(68) = altitude (side opposite) / 20       multiply both sides by 20

20*sin(68) = 20* altitude / 20                     substitute for sin(68)

20* 0.9272 = altitude

altitude = 18.5

Answer: 18.5 to the nearest tenth

3 0
2 years ago
Does the system have one, none or infinite solutions?<br> 8x + 4y = 12<br> y = -2x + 3
Vitek1552 [10]

Answer:

Infinite solutions

Step-by-step explanation:

6 0
3 years ago
What is the correct factorization of x^2 - 2x - 15?
iragen [17]

Answer:

option b

Step-by-step explanation:

{x}^{2}  - 2x - 15

{x}^{2}  - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x - 5)(x + 3) = 0

x = -3 (Not possible)

x = 5

So, x = 5

8 0
2 years ago
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