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Liono4ka [1.6K]
3 years ago
8

Need help pls someone

Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

\sqrt[3]{250a^{11}}=\sqrt[3]{125\cdot2a^{2+9}}=\sqrt[3]{125}\cdot\sqrt[3]{2a^2\cdot a^9}=5\sqrt[3]{2a^2}\cdot\sqrt[3]{a^9}\\\\=5\sqrt[3]{2a^2}\cdot\sqrt[3]{a^{3\cdot3}}=5\sqrt[3]{2a^2}\cdot\sqrt[3]{(a^3)^3}=5\sqrt[3]{2^2}\cdot a^3\\\\=\boxed{5a^3\sqrt[3]{2a^2}}

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Three numerical expressions that are equivalent to (0.0004) x (0.005)
zzz [600]

Answer:

Numerical expression 1

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Numerical expression 2

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Numerical expression 3

1 : 50000

Step-by-step explanation:

Numerical expression 1

\frac{4}{10000} * \frac{5}{1000}  = \frac{20}{10000000} = \frac{1}{500000}

Numerical expression 2

\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}

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4 0
3 years ago
What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16
kicyunya [14]

Answer:

y=\pm i \sqrt{7}

Step-by-step explanation:

Given equation is \frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

Factor denominators then solve by making denominators equal

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}

\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}

y\left(y+4\right)-4\left(y-4\right)=9

y^2+4y-4y+16=9

y^2=9-16

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take squar root of both sides

y=\pm \sqrt{-7}

y=\pm i \sqrt{7}

Hence final answer is y=\pm i \sqrt{7}.

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3 years ago
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