Expressions with exponents and radicals

2000009403

Level:

The expression

\sqrt[5]{1024}

equals:

4

32

\sqrt{2}

25

2010004701

Level:

The value of the multiplicative inverse of

{[{(\frac{1}{2})}^{- 1} - 5^{- 2}]}^{\frac{1}{2}}

is:

\frac{5}{7}

\sqrt{2} - \frac{1}{5}

\frac{25}{49}

\frac{7}{5}

2010004702

Level:

Simplify the fraction

\frac{\sqrt[12]{8} \cdot \sqrt[20]{16} \cdot \sqrt[5]{15}}{\sqrt[5]{30}}

\sqrt[4]{2}

\frac{1}{\sqrt[4]{2}}

1

2

2010004703

Level:

Simplifying

{(\sqrt[5]{2 \sqrt[3]{8}})}^{\frac{5}{2}} \cdot \sqrt{4^{- 1}}

we get:

1

\sqrt{2}

\frac{1}{\sqrt{2}}

2

2010004704

Level:

The number

{(\frac{81^{- 3} \cdot 16^{- 3}}{9^{- 5} \cdot 4^{- 4}})}^{- 2}

equals:

12^{4}

6^{4}

6^{12}

\frac{1}{3^{4} \cdot 2^{8}}

2010004705

Level:

Express the value of the expression

{(\frac{3}{2} - 3^{- 2})}^{- 1}

as a decimal number.

0.72

1.3 \overset{―}{8}

\frac{18}{25}

- 0.1 \overset{―}{3}

2010004706

Level:

The multiplicative inverse of the number

\frac{\sqrt{4^{3}} : 8^{\frac{1}{3}}}{\sqrt[3]{4}}

is:

2^{- \frac{4}{3}}

2^{\frac{3}{4}}

2^{\frac{4}{3}}

2^{- \frac{1}{3}}

2010004707

Level:

The number

\frac{1}{4^{2020}} \cdot (0.002)^{2020}

equals:

(0.0005)^{2020}

\frac{1}{5000^{2020}}

(0.008)^{2020}

(0.005)^{2020}

2010004802

Level:

The number

{(\sqrt{3 + \sqrt{5}} + \sqrt{3 - \sqrt{5}})}^{2}

equals:

10

6

14

2 \sqrt{5}

2010004803

Level:

For

x \in R

x > 0

, simplify the following expression.

\sqrt[5]{x^{4}} : \sqrt[3]{x^{2}}

\sqrt[15]{x^{2}}

\sqrt[15]{x^{22}}

\sqrt[5]{x^{9}}

x

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Expressions with exponents and radicals

2000009403

2010004701

2010004702

2010004703

2010004704

2010004705

2010004706

2010004707

2010004802

2010004803

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