$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{9x^4}\cdot \sqrt[3]{3x^8}\implies (9x^4)^{\frac{1}{3}}\cdot (3x^8)^{\frac{1}{3}}\implies 9^{\frac{1}{3}}\cdot x^{4\cdot \frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{8\cdot \frac{1}{3}}$

$\bf 9^{\frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{4}{3}}\cdot x^{\frac{8}{3}}\implies (3^2)^{\frac{1}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{4}{3}+\frac{8}{3}}\implies 3^{\frac{2}{3}}\cdot 3^{\frac{1}{3}}\cdot x^{\frac{12}{3}} \\\\\\ 3^{\frac{2}{3}+\frac{1}{3}}x^4\implies 3^{\frac{3}{3}}x^4\implies 3x^4$

6 0

4 years ago

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An ice cream shop uses the following ingredients to make 1 sundae.Ingredients AmountIce cream 2 scoops Sprinkles 4 spoonfuls Whi

aleksandrvk [35]

8 Sundaes

Sense its 4 spoonfuls per sundae our equation to find how many sundaes was made looks like this:

32÷4=8

8 0

3 years ago

You invest $10,000 in an account with 1.250% interest, compounded

Luden [163]

Answer:

Growth of $10,000 at 2% Interest

Year Amount

0 $10,000

1 $10,200

2 $10,404

3 $10,612

4 $10,824

5 $11,041

6 $11,262

7 $11,487

8 $11,717

9 $11,951

10 $12,190

$10,000 for 10 Years by Interest Rate

Rate Amount

1% $11,046

2% $12,190

3% $13,439

4% $14,802

5% $16,289

6% $17,908

8% $21,589

10% $25,937

12% $31,058

15% $40,456

20% $61,917

Step-by-step explanation:

5 0

2 years ago