MATHEMATICS MIDDLE SCHOOL

Explain the properties of exponents with examples of your own

Answers

Answer 1

Answer:

This is about the properties of exponents.

The properties of exponents are explained below.

Exponents are values which are powers that show how many times we have to multiply a base number by itself.

The examples of properties of exponent are;

Product of powers; What this means is that when we multiply two or more bases that have same value, we will retain the bases and just add the exponents together. For Example; 4² × 4³; We will just retain the base of 7 and add both exponents to get; 4⁵

Quotient of Powers; What this means is that when we divide two bases that have same value, we will retain the bases and just subtract the second exponent from the first one. For example; 7⁵ ÷ 7²; We will just retain the base of 7 and subtract 2 from 5 to get; 7⁽⁵ ⁻ ²⁾ = 7³

Power to a Power; What this means is that when we have a power raised to another power, we multiply the exponents together and retain the base number. For example; 4²⁽³⁾; we multiply 3 by 2 to get; 4⁶.

Power of a Product; What this means is that when we have two bases multiplying each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (xy)⁴ will give us; x⁴y⁴

Power of a quotient; What this means is that when we have two bases dividing each other in a bracket being raised to a power, we distribute the power to each of the bases. For example (x/y)⁴ will give us; x⁴/y⁴

Read more at; brainly.com/question/19204433

Answer 2

Answer: This is an example of the quotient of powers property and tells us that when you divide powers with the same base you just have to subtract the exponents. When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1.

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How do i evaluate an expression with a given variable

Answers

To evaluate an expression with a given variable means to replace the number in the place of the variable, and then solve to find what the expression equals.
Example would be: x + 3 and x = 4
x + 3
4+3 = 7
7 is the value of the expression now.

Help I will give 30 points help me out need ASAP please

Answers

Answer:

21 in.

Step-by-step explanation:

The radius is half of the diameter. The diameter (as shown) is 42 inches. Divide that by two to get 21 in.

What is an equivalent expression to (24a+56b)

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you could write 2(12a+28b)

A student completed 1/4 of a workbook in 3/5 hour.He plans to work for 1 more hour at the same rate.What Fraction of the workbook should he expect to complete in 1 hour?

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The fraction of the workbook he should expect to complete in 1 hour is 5/12

How to determine the fraction of work?

The student's rate is given as:

1/4 of a workbook in 3/5 hour.

The rate in this scenario is calculated using:

Rate = Workbook/time

So, we have:

Rate = 1/4 / 3/5

Express as product

Rate = 1/4 * 5/3

Evaluate

Rate = 5/12

This means that she would complete 5/12 of the workbook in 1 hour

Hence, the fraction of the workbook he should expect to complete in 1 hour is 5/12

Answers

If you mean that the total number of questions is 70, then:

1. You need to figure out what 90% is of the total, 70.
2. Do this by multiplying 70 by 90% --> 70*(.9)
3. 90% of 70 is 63. The total number correct is 63.

You can check your work by figuring out what percentage 63 is of 70. 63 divided by 70 (63/70) is .9, or 90%.

Please tell me what the final answer to this question would be.

Answers

First, divide the whole rectangle in fourths and figure out the area of each fourth. Each is 500m².
Second, find the area of the rectangle. 500 x 4 = 2000m² ← that is the area of the rectangle.
Lastly, the perimeter is 25m+25+80+80, because 25x80= 2000.
Answer=210m
:)

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