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Sveta_85 [38]
1 year ago
5

Which is an equivalent expression for four sevenths squared times two thirds raised to the power of negative three all raised to

the power of negative one?
four sevenths squared times two thirds raised to the power of negative three
seven fourths squared times two thirds cubed
seven fourths to the power of negative two times two thirds to the power of negative three
four sevenths times two thirds raised to the power of negative four
Mathematics
1 answer:
Ket [755]1 year ago
6 0

Seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.


Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ =  ( 4 / 7)⁻² x  (2 / 3)³

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ = ( 7 / 4)² x  (2 / 3)³

Therefore, seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

To know more about expression follow

brainly.com/question/12592609

#SPJ1

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The next greater tenth is  14.7
The next smaller tenth is  14.5

Neither of them is nearer to 14.6 than 14.6 already is.
So 14.6 is already the nearest tenth.


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2,759 divided by 89?
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2 years ago
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I'm reasking a previous question to make it more clear. This is a Linear Equation that I must solve. It includes fractions (the
Ugo [173]

Assuming the equation is:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)


When fractions involve numeric denominators, the fractions can be removed by multiplying (both sides) by the LCM of the denominators.


Here the denominators are 2 and 10, hence the LCM is 10.


Multiply by 10 on both sides, not forgetting to distribute when multiplying on the right side:

10\frac{x}{2}-10\frac{10x-25}{10}=10*3(x+3)-10(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

5x-(10x-25)=30(x+3)-10(x-14)

Now, distribute, i.e. remove parentheses and distribute:

5x-10x+25=30x+90-10x+140

Simplify

-5x+25=20x+230

transpose terms

25-230=20x+5x

solve

x=-205/25=-41/5


In this particular case, we can also take advantage of the term

(10x-25)/10=5(2x-5)/10=(2x-5)/2 which greatly simplifies the solution process, because the LCM will then be 2 instead of 10.

If we do that, the solution will be:

Multiply by 2 on both sides, not forgetting to distribute when multiplying on the right side:

\frac{x}{2}-\frac{10x-25}{10}=3(x+3)-(x-14)

simplify, remember that there are always implied parentheses around numerators and denominators:

2\frac{x}{2}-2\frac{2x-5}{2}=2*3(x+3)-2(x-14)

x-(2x-5)=6(x+3)-2(x-14)

Now, distribute, i.e. remove parentheses and distribute:

x-2x+5=6x+18-2x+28

Simplify

-x+5=4x+46

solve

5-46=4x+x

-41=5x

x=-41/5

with the same results.

7 0
3 years ago
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