MATHEMATICS HIGH SCHOOL

(2^2b^-2)^-3
Math help plz

Answers

Answer 1
Answer:

Answer:

(b^6)/(64)

Step-by-step explanation:

We need three rules. Raising a power to a power. Raising a product to a power. Raising a number to a negative exponent.

Rule 1:

To raise a power to a power, multiply powers.

(a^m)^n = a^(mn)

Rule 2:

To raise a product to a power, raise every factor of the product to the power.

(a^xb^yc^z)^n = a^(xn)b^(yn)c^(zn)

Rule 3:

To raise a number to a negative power, follow this formula.

a^(-n) = (1)/(a^n)

Your problem.

(2^2b^(-2))^(-3) =

You have a product raised to a power, so raise each factor to the power.

= (2^2)^(-3)(b^(-2))^(-3)

Now raise each power to a power by multiplying exponents.

= 2^(2 * (-3))b^(-2 * (-3))

= 2^(-6)b^(6)

Now we follow the rule of a negative exponent.

= (1)/(2^6) * b^6

= (b^6)/(2^6)

= (b^6)/(2 * 2 * 2 * 2 * 2 * 2)

= (b^6)/(64)

Answer: (b^6)/(64)

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Simplify.

n 6 · n 5 ÷ n 4 · n 3 ÷ n 2 · n

Answers

Answer: n^(9)

Step-by-step explanation:

Given expression: n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

The law of exponents are given by :_

a^m\cdot a^n=a^(m+n)\n\na^m/ a^n=a^(m-n)

Using PEDMAS, first we solve division, we get

n^6\cdot n^(5-4)\cdot n^(3-2)\cdot n\n\n=n^6\cdot n\cdot n\cdot n

Now, using product law of exponent we get

n^(6+1+1+1)\n\n=n^(9)

Answer:

The given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n is n^9            

Step-by-step explanation:

Given : Expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

We have to write the simplified form for the given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

Consider the given expression  n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n

Rewrite it in simpler form, we have,

n^6\cdot(n^5)/(n^4)\cdot (n^3)/(n^2)\cdot n

Apply exponent rule, \:a^b\cdot \:a^c=a^(b+c), we have,

n^6n=\:n^(6+1)

=(n^5)/(n^4)\cdot (n^3)/(n^2)n^(7)

Apply exponent rule, (x^a)/(x^b)=x^(a-b)

(n^5)/(n^4)=n^(5-4)

(n^3)/(n^2)=n^(3-2)

Expression becomes,

=n^7nn

Again apply exponent rule, we have,

\:a^b\cdot \:a^c=a^(b+c)

=n^(1+1+7)=n^9

Thus, The given expression n^6\cdot n^5/ n^4\cdot n^3/ n^2\cdot n is n^9

Use the distributive property to rewrite 28*63

Answers

(20+8)*(60+3)
Not sure if this is what you were looking for but I hope it helps.

Final answer:

To use the distributive property to state 28*63, we break down 28 into two smaller numbers say 20 and 8, and then multiply each by 63 and add the products. So, 28*63 is (20*63)+(8*63), which is 1764.

Explanation:

The problem is asking you to use the distributive property to rewrite the multiplication 28*63. The distributive property is about breaking down larger numbers into smaller, manageable parts. Now, this involves a strategy of breaking down the numbers.

Let's break down the number 28 into 20 and 8.  So, the multiplication could be rewritten as (20 + 8) * 63.

Now apply the distributive property (also known as Distributive Law of Multiplication) which states that multiplying a number by a sum of two numbers is equivalent to multiplying the number individually by each of the numbers and then adding the products together.

So,  (20 + 8) * 63 equals (20*63) + (8*63)

The final answer to the equation would be (20*63) + (8*63) = 1260 + 504 = 1764.

Learn more about Distributive Property here:

brainly.com/question/37341329

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One of the community service groups is going to plant a garden. 2/3 of the space will be used for vegetables. 1/4 of the vegetable space will be used for tomatos. what fraction of the garden will be used for tomatoes? draw a picture below.

Answers

Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair

Answers

Just add 25 minutes. That's because they boarded at 3:55 and took 25 minutes to just go to the fair. So in 25 more minutes they got to the fair! so it would be 4:20 when they got to the fair.
Do:

3.55 - 0.25 - 1.15 = 2.15 hs

They arrived at fair the 2.15 hs

PLEASE HELP LAST QUESTION

Answers

13,61,25,19,41 
:) hope i could help :)

What is the value of the function at x=−2? y=−4 y equals negative 4 y = 0 y, = 0 y = 2 y = 2, y = 3

Answers

Based on the graph which models the function at x = -2 (see attachment), the corresponding y-value is y = 3.

What is a function?

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

In this scenario, there are several values (points) on the given linear graph expressed as a coordinate (x, y). Hence, the x-values on the x-axis is directly proportional to the y-values on the x-axis.

By critically observing the graph which models the function at x = -2 (see attachment), we can logically deduce that the corresponding y-value is three (3).

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Answer:

Ik im late but yea

Step-by-step explanation:

I took the test :O
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