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MakcuM [25]
3 years ago
14

What operation must be used on the exponents in order to simplify the expression? (x^3)^7

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer: So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.

Step-by-step explanation:

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To find the value of y in the given equation, substitute the given value of x to the equation.
   
                               y = 4x + 2x² -x³

Substitute 2 for all x's.
  
                               y = 4(2) + 2(2²) - 2³ = 8

Therefore, the value of y is 8. 


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Last year 40 people adopted a manatee through Fia's Foundation. This year 15% more people adopted a manatee. How many people ado
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Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)
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3 years ago
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The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length
lina2011 [118]

Given:

The ratio of the measures of the three sides of a triangle is \dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}.

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are \dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x respectively (in cm).

Its perimeter is 31.4 centimeters.

\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4

\dfrac{3x+4x+2x}{12}=31.4

\dfrac{9x}{12}=31.4

\dfrac{3x}{4}=31.4

On further simplification, we get

3x=4\times 31.4

3x=125.6

Divide both sides by 3.

x=\dfrac{125.6}{3}

x=41.867

Now, the sides of triangle are

\dfrac{1}{4}(41.867)=10.467

\dfrac{1}{3}(41.867)=13.956

\dfrac{1}{6}(41.867)=6.978

Therefore, the length of the shortest side is 6.978 cm.

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3 years ago
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