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Goshia [24]
3 years ago
7

The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

has decided to double the area of her garden. Part 1 out of 2 Enter an expression that represents the area of Mary's new garden. An expression that represents the area is
Mathematics
1 answer:
icang [17]3 years ago
7 0

If it's double the original area it's 2(x^2)

this means the area of Mary's new garden is 2x^2

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Answer:

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Simplify the expression ((81y^-8)/(16x^20))^-1/4
Darina [25.2K]
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------

\bf \left( \cfrac{81y^{-8}}{16x^{20}} \right)^{-\frac{1}{4}}\implies \left( \cfrac{16x^{20}}{81y^{-8}} \right)^{\frac{1}{4}}\implies \left( \cfrac{2^4x^{20}}{3^4y^{-8}} \right)^{\frac{1}{4}}
\\\\\\
\textit{and now we'll distribute the exponent}\qquad \left( \cfrac{2^{4\cdot \frac{1}{4}}x^{20\cdot \frac{1}{4}}}{3^{4\cdot \frac{1}{4}}y^{-8\cdot \frac{1}{4}}} \right)
\\\\\\
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3 years ago
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