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2 years ago

Simplify the expression 3^-8 x 3^4

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

5 0

Answer:

3⁻⁴

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Exponential Rule [Multiplying]: $\displaystyle b^m \cdot b^n = b^{m + n}$

Step-by-step explanation:

Step 1: Define

3⁻⁸ × 3⁴

Step 2: Simplify

Exponential Rule [Multiplying]: 3⁻⁸ ⁺ ⁴
Combine exponents: 3⁻⁴

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Find the perimeter of the polygon with the given vertices. Round your answer to the nearest hundredth.

yanalaym [24]

Check the picture below, now the distance from 2,0 to 4,0 there's no need to do much calculation since that's just 2 units, as you see there.

$~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) ~\hfill d1=\sqrt{[ 1- 2]^2 + [ 4- 0]^2} \\\\\\ d1=\sqrt{(-1)^2+4^2}\implies \boxed{d1=\sqrt{17}} \\\\[-0.35em] ~\dotfill$

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) ~\hfill d2=\sqrt{[ -1- 1]^2 + [ -2- 4]^2} \\\\\\ d2=\sqrt{(-2)^2+(-6)^2}\implies \boxed{d2=\sqrt{40}} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{0}) ~\hfill d3=\sqrt{[ 4- (-1)]^2 + [ 0- (-2)]^2} \\\\\\ d3=\sqrt{(4+1)^2+(0+2)^2}\implies \boxed{d3=\sqrt{29}}$

$~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~ + ~~\sqrt{17}~~ + ~~\sqrt{40}~~ + ~~\sqrt{29}~~\approx~~17.83}$

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1 year ago

What is the equivalent decimal of -1\5 and -2\9

Nina [5.8K]

Answer:

1/5=10/50

2/9=20/90

Step-by-step explanation:

1/5 is just a simpler way of saying 10/50 same as 2/9

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3 years ago

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3 years ago

Write a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

hichkok12 [17]

Float rate_of_pay a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is float rate_of_pay?

In contrast to fixed (or unchangeable) interest rates, floating interest rates change on a regular basis. Companies that offer credit cards and mortgages frequently use floating rates.
Floating rates follow the market, a benchmark interest rate, an index, or both.

Is a fixed or floating rate preferable?

In a rising rate environment, banks offer fixed rate loans at a higher rate than variable rate loans in order to profit more from the latter when rates rise.
Fixed rate loans may have interest rates that are 300–350 basis points higher than floating rate loans.

float rate_of_pay

rate_of_pay = 11.50, 12.75;

Learn more about Float rate_of_pay

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