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stiv31 [10]
3 years ago
11

How do you do an exponent in parentheses to another exponent outside of it

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0
To multiply exponential<span> terms with the same base, </span>add<span> the </span>exponents<span>. An </span>exponent<span>applies only to the value to its immediate left. When a quantity in </span>parentheses<span> is raised to a power, the </span>exponent<span> applies to everything inside the </span>parentheses<span>. Simplify the expression, keeping the answer in </span>exponential<span> notation.</span>
Anestetic [448]3 years ago
5 0
If the exponent is like this (x^2)^2 then you multiply the exponents. If it's like this (x^2) (x^2) then just add the exponents
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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
Which number is IRRATIONAL? A) 1 B) 125 C) 18 2 3 D) 289 E) 9.4
kodGreya [7K]
An irrational number is one with a fraction.
3 0
3 years ago
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sashaice [31]
Add 7 and 7 which is 14 and then take it apart because it is an even number
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3 years ago
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Solve liner equation for they variable<br> 3x-5(x+6)=-2x-2(5+10)
Dvinal [7]

Answer:

all numbers

Step-by-step explanation:

3x - 5(x + 6) = -2x -2(5 + 10)

Distribute on both sides.

3x - 5x - 30 = -2x - 10 - 20

Add 2x to both sides.

-2x - 30 = -2x - 30

-30 = -30

Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.

Answer: all numbers

4 0
2 years ago
What is the algebraic rule for this statement: "Translate the point right 6
ivann1987 [24]
I think it’s D. (x+6, y-4)
because you go right on the x and down on the y
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