Simplifying Exponents

Practice Questions

High School Math › Simplifying Exponents

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1

Order the following from least to greatest:

$25^{100}$

$2^{300}$

$3^{500}$

$4^{400}$

$2^{600}$

2

Order the following from least to greatest:

$25^{100}$

$2^{300}$

$3^{500}$

$4^{400}$

$2^{600}$

3

Simplify the following expression.

$\frac{2^{9}}{2^{11}}$

4

Simplify the following expression.

$\frac{2^{9}}{2^{11}}$

5

Simplify the expression:

$x^3 + \frac{2x^2}{x^{-1}}$

6

Simplify the expression:

$x^3 + \frac{2x^2}{x^{-1}}$

7

Simplify the following exponent expression:

$(\frac{a^{\frac{-3}{2}}}{3^6b^{\frac{-2}{3}}})^{\frac{-1}{2}}$

8

Simplify the following exponent expression:

$(\frac{a^{\frac{-3}{2}}}{3^6b^{\frac{-2}{3}}})^{\frac{-1}{2}}$

9

What is the largest positive integer, , such that is a factor of ?

10

What is the largest positive integer, , such that is a factor of ?

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