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andriy [413]
3 years ago
14

Simplify (2/9)^3 A. 8/729 B. 6/9 C. 2/729 D. 8/9 No guessing please

Mathematics
1 answer:
Lunna [17]3 years ago
7 0
Eliminate the exponent
2^3=8
9^3=729

The simplified answer would be 8/729.

Hope this helps! 
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Find the effect of the change to the graph of the parent function of y = x3-5.
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Step-by-step explanation:

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Simplify the expression
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Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

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So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

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Hope this helped!

7 0
3 years ago
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The answer is 100 miles
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What is 8170 divided by 75
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Read 2 more answers
A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the a
kifflom [539]

Answer:

The area of the new rectangle is 882 in².

Step-by-step explanation:

Let l be the length and w be the width of the original rectangle,

So, the area of the original rectangle is,

A = l × w                  ( Area of a rectangle = Length × Width )

Given, A = 72 in²,

⇒ lw = 72 ------- (1),

Since, if the rectangle are changed by a scale factor of 3.5,

⇒ New length = 3.5 l,

And, new width = 3.5 w,

Thus, the area of the new rectangle = 3.5l × 3.5w

=(3.5)^2lw

=12.25\times 72  ( From equation (1) ),

= 882 in²

4 0
3 years ago
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